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Finding the Fourth Proportional to 59,807.68, 82,534.21 and 32,949.57

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Solution

The fourth proportional to 59,807.68, 82,534.21 and 32,949.57 is: 45,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,807.68 : 82,534.21 = 32,949.57 : x
  2. Step 2: Convert to fraction form
    59,807.68/82,534.21 = 32,949.57/x
  3. Step 3: Cross multiply
    59,807.68x = 82,534.21 × 32,949.57
  4. Step 4: Simplify right side
    59,807.68x = 2,719,466,729.79
  5. Step 5: Solve for x
    x = 2,719,466,729.79/59,807.68
  6. Step 6: Final answer
    x = 45,470.19

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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.