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Finding the Fourth Proportional to 77,057.60, 115,618.80 and 42,022.40

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Solution

The fourth proportional to 77,057.60, 115,618.80 and 42,022.40 is: 63,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,057.60 : 115,618.80 = 42,022.40 : x
  2. Step 2: Convert to fraction form
    77,057.60/115,618.80 = 42,022.40/x
  3. Step 3: Cross multiply
    77,057.60x = 115,618.80 × 42,022.40
  4. Step 4: Simplify right side
    77,057.60x = 4,858,579,461.12
  5. Step 5: Solve for x
    x = 4,858,579,461.12/77,057.60
  6. Step 6: Final answer
    x = 63,051.27

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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.