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Finding the Fourth Proportional to 49,897.38, 68,856.67 and 29,743.87

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Solution

The fourth proportional to 49,897.38, 68,856.67 and 29,743.87 is: 41,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,897.38 : 68,856.67 = 29,743.87 : x
  2. Step 2: Convert to fraction form
    49,897.38/68,856.67 = 29,743.87/x
  3. Step 3: Cross multiply
    49,897.38x = 68,856.67 × 29,743.87
  4. Step 4: Simplify right side
    49,897.38x = 2,048,063,841.11
  5. Step 5: Solve for x
    x = 2,048,063,841.11/49,897.38
  6. Step 6: Final answer
    x = 41,045.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.