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Finding the Fourth Proportional to 39,532.71, 59,298.72 and 16,142.73

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Solution

The fourth proportional to 39,532.71, 59,298.72 and 16,142.73 is: 24,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532.71 : 59,298.72 = 16,142.73 : x
  2. Step 2: Convert to fraction form
    39,532.71/59,298.72 = 16,142.73/x
  3. Step 3: Cross multiply
    39,532.71x = 59,298.72 × 16,142.73
  4. Step 4: Simplify right side
    39,532.71x = 957,243,226.31
  5. Step 5: Solve for x
    x = 957,243,226.31/39,532.71
  6. Step 6: Final answer
    x = 24,213.95

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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.