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Finding the Fourth Proportional to 59,505.66, 82,132.02 and 40,417.20

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Solution

The fourth proportional to 59,505.66, 82,132.02 and 40,417.20 is: 55,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,505.66 : 82,132.02 = 40,417.20 : x
  2. Step 2: Convert to fraction form
    59,505.66/82,132.02 = 40,417.20/x
  3. Step 3: Cross multiply
    59,505.66x = 82,132.02 × 40,417.20
  4. Step 4: Simplify right side
    59,505.66x = 3,319,546,278.74
  5. Step 5: Solve for x
    x = 3,319,546,278.74/59,505.66
  6. Step 6: Final answer
    x = 55,785.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.