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Finding the Fourth Proportional to 32,778.28, 49,167.47 and 14,046.17

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Solution

The fourth proportional to 32,778.28, 49,167.47 and 14,046.17 is: 21,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.28 : 49,167.47 = 14,046.17 : x
  2. Step 2: Convert to fraction form
    32,778.28/49,167.47 = 14,046.17/x
  3. Step 3: Cross multiply
    32,778.28x = 49,167.47 × 14,046.17
  4. Step 4: Simplify right side
    32,778.28x = 690,614,326.02
  5. Step 5: Solve for x
    x = 690,614,326.02/32,778.28
  6. Step 6: Final answer
    x = 21,069.27

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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.