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Finding the Fourth Proportional to 61,882.72, 92,747.84 and 24,405.10

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Solution

The fourth proportional to 61,882.72, 92,747.84 and 24,405.10 is: 36,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,882.72 : 92,747.84 = 24,405.10 : x
  2. Step 2: Convert to fraction form
    61,882.72/92,747.84 = 24,405.10/x
  3. Step 3: Cross multiply
    61,882.72x = 92,747.84 × 24,405.10
  4. Step 4: Simplify right side
    61,882.72x = 2,263,519,956.09
  5. Step 5: Solve for x
    x = 2,263,519,956.09/61,882.72
  6. Step 6: Final answer
    x = 36,577.58

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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.