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Finding the Fourth Proportional to 32,265.88, 48,397.08 and 10,076.71

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Solution

The fourth proportional to 32,265.88, 48,397.08 and 10,076.71 is: 15,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265.88 : 48,397.08 = 10,076.71 : x
  2. Step 2: Convert to fraction form
    32,265.88/48,397.08 = 10,076.71/x
  3. Step 3: Cross multiply
    32,265.88x = 48,397.08 × 10,076.71
  4. Step 4: Simplify right side
    32,265.88x = 487,683,340.01
  5. Step 5: Solve for x
    x = 487,683,340.01/32,265.88
  6. Step 6: Final answer
    x = 15,114.52

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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.