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Finding the Fourth Proportional to 32,138.73, 48,239.27 and 15,510.47

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Solution

The fourth proportional to 32,138.73, 48,239.27 and 15,510.47 is: 23,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.73 : 48,239.27 = 15,510.47 : x
  2. Step 2: Convert to fraction form
    32,138.73/48,239.27 = 15,510.47/x
  3. Step 3: Cross multiply
    32,138.73x = 48,239.27 × 15,510.47
  4. Step 4: Simplify right side
    32,138.73x = 748,213,431.41
  5. Step 5: Solve for x
    x = 748,213,431.41/32,138.73
  6. Step 6: Final answer
    x = 23,280.74

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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.