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Finding the Fourth Proportional to 61,489.84, 92,278.50 and 47,463.88

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Solution

The fourth proportional to 61,489.84, 92,278.50 and 47,463.88 is: 71,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,489.84 : 92,278.50 = 47,463.88 : x
  2. Step 2: Convert to fraction form
    61,489.84/92,278.50 = 47,463.88/x
  3. Step 3: Cross multiply
    61,489.84x = 92,278.50 × 47,463.88
  4. Step 4: Simplify right side
    61,489.84x = 4,379,895,650.58
  5. Step 5: Solve for x
    x = 4,379,895,650.58/61,489.84
  6. Step 6: Final answer
    x = 71,229.58

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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.