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Finding the Fourth Proportional to 32,410.17, 48,614.31 and 17,712.17

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Solution

The fourth proportional to 32,410.17, 48,614.31 and 17,712.17 is: 26,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.17 : 48,614.31 = 17,712.17 : x
  2. Step 2: Convert to fraction form
    32,410.17/48,614.31 = 17,712.17/x
  3. Step 3: Cross multiply
    32,410.17x = 48,614.31 × 17,712.17
  4. Step 4: Simplify right side
    32,410.17x = 861,064,680.08
  5. Step 5: Solve for x
    x = 861,064,680.08/32,410.17
  6. Step 6: Final answer
    x = 26,567.73

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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.