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Finding the Fourth Proportional to 31,732.16, 47,602.32 and 10,663.11

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Solution

The fourth proportional to 31,732.16, 47,602.32 and 10,663.11 is: 15,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732.16 : 47,602.32 = 10,663.11 : x
  2. Step 2: Convert to fraction form
    31,732.16/47,602.32 = 10,663.11/x
  3. Step 3: Cross multiply
    31,732.16x = 47,602.32 × 10,663.11
  4. Step 4: Simplify right side
    31,732.16x = 507,588,734.43
  5. Step 5: Solve for x
    x = 507,588,734.43/31,732.16
  6. Step 6: Final answer
    x = 15,996.04

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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.