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Finding the Fourth Proportional to 61,463.10, 92,222.19 and 29,855.82

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Solution

The fourth proportional to 61,463.10, 92,222.19 and 29,855.82 is: 44,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,463.10 : 92,222.19 = 29,855.82 : x
  2. Step 2: Convert to fraction form
    61,463.10/92,222.19 = 29,855.82/x
  3. Step 3: Cross multiply
    61,463.10x = 92,222.19 × 29,855.82
  4. Step 4: Simplify right side
    61,463.10x = 2,753,369,104.65
  5. Step 5: Solve for x
    x = 2,753,369,104.65/61,463.10
  6. Step 6: Final answer
    x = 44,797.11

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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.