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Finding the Fourth Proportional to 47,787.38, 65,849.39 and 36,966.55

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Solution

The fourth proportional to 47,787.38, 65,849.39 and 36,966.55 is: 50,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,787.38 : 65,849.39 = 36,966.55 : x
  2. Step 2: Convert to fraction form
    47,787.38/65,849.39 = 36,966.55/x
  3. Step 3: Cross multiply
    47,787.38x = 65,849.39 × 36,966.55
  4. Step 4: Simplify right side
    47,787.38x = 2,434,224,767.90
  5. Step 5: Solve for x
    x = 2,434,224,767.90/47,787.38
  6. Step 6: Final answer
    x = 50,938.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.