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Finding the Fourth Proportional to 61,691.64, 92,537.25 and 24,225.50

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Solution

The fourth proportional to 61,691.64, 92,537.25 and 24,225.50 is: 36,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,691.64 : 92,537.25 = 24,225.50 : x
  2. Step 2: Convert to fraction form
    61,691.64/92,537.25 = 24,225.50/x
  3. Step 3: Cross multiply
    61,691.64x = 92,537.25 × 24,225.50
  4. Step 4: Simplify right side
    61,691.64x = 2,241,760,687.19
  5. Step 5: Solve for x
    x = 2,241,760,687.19/61,691.64
  6. Step 6: Final answer
    x = 36,338.16

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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.