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Finding the Fourth Proportional to 51,773.67, 77,546.67 and 42,787.15

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Solution

The fourth proportional to 51,773.67, 77,546.67 and 42,787.15 is: 64,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.67 : 77,546.67 = 42,787.15 : x
  2. Step 2: Convert to fraction form
    51,773.67/77,546.67 = 42,787.15/x
  3. Step 3: Cross multiply
    51,773.67x = 77,546.67 × 42,787.15
  4. Step 4: Simplify right side
    51,773.67x = 3,318,000,399.62
  5. Step 5: Solve for x
    x = 3,318,000,399.62/51,773.67
  6. Step 6: Final answer
    x = 64,086.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.