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Finding the Fourth Proportional to 82,944,101.80, 124,416,152.70 and 29,084,415.40

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Solution

The fourth proportional to 82,944,101.80, 124,416,152.70 and 29,084,415.40 is: 43,626,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,944,101.80 : 124,416,152.70 = 29,084,415.40 : x
  2. Step 2: Convert to fraction form
    82,944,101.80/124,416,152.70 = 29,084,415.40/x
  3. Step 3: Cross multiply
    82,944,101.80x = 124,416,152.70 × 29,084,415.40
  4. Step 4: Simplify right side
    82,944,101.80x = 3,618,571,067,596,631.50
  5. Step 5: Solve for x
    x = 3,618,571,067,596,631.50/82,944,101.80
  6. Step 6: Final answer
    x = 43,626,623.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.