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Finding the Fourth Proportional to 32,663.57, 48,992.72 and 10,471.01

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Solution

The fourth proportional to 32,663.57, 48,992.72 and 10,471.01 is: 15,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,663.57 : 48,992.72 = 10,471.01 : x
  2. Step 2: Convert to fraction form
    32,663.57/48,992.72 = 10,471.01/x
  3. Step 3: Cross multiply
    32,663.57x = 48,992.72 × 10,471.01
  4. Step 4: Simplify right side
    32,663.57x = 513,002,963.73
  5. Step 5: Solve for x
    x = 513,002,963.73/32,663.57
  6. Step 6: Final answer
    x = 15,705.66

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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.