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Finding the Fourth Proportional to 32,468.47, 48,704.42 and 10,280.14

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Solution

The fourth proportional to 32,468.47, 48,704.42 and 10,280.14 is: 15,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.47 : 48,704.42 = 10,280.14 : x
  2. Step 2: Convert to fraction form
    32,468.47/48,704.42 = 10,280.14/x
  3. Step 3: Cross multiply
    32,468.47x = 48,704.42 × 10,280.14
  4. Step 4: Simplify right side
    32,468.47x = 500,688,160.16
  5. Step 5: Solve for x
    x = 500,688,160.16/32,468.47
  6. Step 6: Final answer
    x = 15,420.75

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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.