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Finding the Fourth Proportional to 32,385.72, 48,581.42 and 9,901.47

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Solution

The fourth proportional to 32,385.72, 48,581.42 and 9,901.47 is: 14,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,385.72 : 48,581.42 = 9,901.47 : x
  2. Step 2: Convert to fraction form
    32,385.72/48,581.42 = 9,901.47/x
  3. Step 3: Cross multiply
    32,385.72x = 48,581.42 × 9,901.47
  4. Step 4: Simplify right side
    32,385.72x = 481,027,423.18
  5. Step 5: Solve for x
    x = 481,027,423.18/32,385.72
  6. Step 6: Final answer
    x = 14,853.07

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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.