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Finding the Fourth Proportional to 39,566.40, 59,234.40 and 38,414.40

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Solution

The fourth proportional to 39,566.40, 59,234.40 and 38,414.40 is: 57,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,566.40 : 59,234.40 = 38,414.40 : x
  2. Step 2: Convert to fraction form
    39,566.40/59,234.40 = 38,414.40/x
  3. Step 3: Cross multiply
    39,566.40x = 59,234.40 × 38,414.40
  4. Step 4: Simplify right side
    39,566.40x = 2,275,453,935.36
  5. Step 5: Solve for x
    x = 2,275,453,935.36/39,566.40
  6. Step 6: Final answer
    x = 57,509.75

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