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Finding the Fourth Proportional to 61,689, 92,546.46 and 24,753

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Solution

The fourth proportional to 61,689, 92,546.46 and 24,753 is: 37,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,689 : 92,546.46 = 24,753 : x
  2. Step 2: Convert to fraction form
    61,689/92,546.46 = 24,753/x
  3. Step 3: Cross multiply
    61,689x = 92,546.46 × 24,753
  4. Step 4: Simplify right side
    61,689x = 2,290,802,524.38
  5. Step 5: Solve for x
    x = 2,290,802,524.38/61,689
  6. Step 6: Final answer
    x = 37,134.70

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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.