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Finding the Fourth Proportional to 41,787.60, 62,737.02 and 24,270

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Solution

The fourth proportional to 41,787.60, 62,737.02 and 24,270 is: 36,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787.60 : 62,737.02 = 24,270 : x
  2. Step 2: Convert to fraction form
    41,787.60/62,737.02 = 24,270/x
  3. Step 3: Cross multiply
    41,787.60x = 62,737.02 × 24,270
  4. Step 4: Simplify right side
    41,787.60x = 1,522,627,475.40
  5. Step 5: Solve for x
    x = 1,522,627,475.40/41,787.60
  6. Step 6: Final answer
    x = 36,437.30

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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.