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Finding the Fourth Proportional to 61,734.42, 92,538.07 and 24,279.31

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Solution

The fourth proportional to 61,734.42, 92,538.07 and 24,279.31 is: 36,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,734.42 : 92,538.07 = 24,279.31 : x
  2. Step 2: Convert to fraction form
    61,734.42/92,538.07 = 24,279.31/x
  3. Step 3: Cross multiply
    61,734.42x = 92,538.07 × 24,279.31
  4. Step 4: Simplify right side
    61,734.42x = 2,246,760,196.29
  5. Step 5: Solve for x
    x = 2,246,760,196.29/61,734.42
  6. Step 6: Final answer
    x = 36,393.96

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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.