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Finding the Fourth Proportional to 32,478.24, 48,717.90 and 9,103.80

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Solution

The fourth proportional to 32,478.24, 48,717.90 and 9,103.80 is: 13,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.24 : 48,717.90 = 9,103.80 : x
  2. Step 2: Convert to fraction form
    32,478.24/48,717.90 = 9,103.80/x
  3. Step 3: Cross multiply
    32,478.24x = 48,717.90 × 9,103.80
  4. Step 4: Simplify right side
    32,478.24x = 443,518,018.02
  5. Step 5: Solve for x
    x = 443,518,018.02/32,478.24
  6. Step 6: Final answer
    x = 13,655.85

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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.