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Finding the Fourth Proportional to 32,781.31, 49,163.46 and 9,402.28

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Solution

The fourth proportional to 32,781.31, 49,163.46 and 9,402.28 is: 14,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.31 : 49,163.46 = 9,402.28 : x
  2. Step 2: Convert to fraction form
    32,781.31/49,163.46 = 9,402.28/x
  3. Step 3: Cross multiply
    32,781.31x = 49,163.46 × 9,402.28
  4. Step 4: Simplify right side
    32,781.31x = 462,248,458.52
  5. Step 5: Solve for x
    x = 462,248,458.52/32,781.31
  6. Step 6: Final answer
    x = 14,100.98

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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.