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Finding the Fourth Proportional to 32,592.34, 48,891.12 and 10,408.86

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Solution

The fourth proportional to 32,592.34, 48,891.12 and 10,408.86 is: 15,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592.34 : 48,891.12 = 10,408.86 : x
  2. Step 2: Convert to fraction form
    32,592.34/48,891.12 = 10,408.86/x
  3. Step 3: Cross multiply
    32,592.34x = 48,891.12 × 10,408.86
  4. Step 4: Simplify right side
    32,592.34x = 508,900,823.32
  5. Step 5: Solve for x
    x = 508,900,823.32/32,592.34
  6. Step 6: Final answer
    x = 15,614.12

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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.