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Finding the Fourth Proportional to 39,842.64, 59,771.24 and 16,470.90

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Solution

The fourth proportional to 39,842.64, 59,771.24 and 16,470.90 is: 24,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842.64 : 59,771.24 = 16,470.90 : x
  2. Step 2: Convert to fraction form
    39,842.64/59,771.24 = 16,470.90/x
  3. Step 3: Cross multiply
    39,842.64x = 59,771.24 × 16,470.90
  4. Step 4: Simplify right side
    39,842.64x = 984,486,116.92
  5. Step 5: Solve for x
    x = 984,486,116.92/39,842.64
  6. Step 6: Final answer
    x = 24,709.36

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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.