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Finding the Fourth Proportional to 77,094.80, 115,642.56 and 32,710.40

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Solution

The fourth proportional to 77,094.80, 115,642.56 and 32,710.40 is: 49,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,094.80 : 115,642.56 = 32,710.40 : x
  2. Step 2: Convert to fraction form
    77,094.80/115,642.56 = 32,710.40/x
  3. Step 3: Cross multiply
    77,094.80x = 115,642.56 × 32,710.40
  4. Step 4: Simplify right side
    77,094.80x = 3,782,714,394.62
  5. Step 5: Solve for x
    x = 3,782,714,394.62/77,094.80
  6. Step 6: Final answer
    x = 49,065.75

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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.