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Finding the Fourth Proportional to 49,681.86, 68,536.87 and 29,524.47

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Solution

The fourth proportional to 49,681.86, 68,536.87 and 29,524.47 is: 40,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,681.86 : 68,536.87 = 29,524.47 : x
  2. Step 2: Convert to fraction form
    49,681.86/68,536.87 = 29,524.47/x
  3. Step 3: Cross multiply
    49,681.86x = 68,536.87 × 29,524.47
  4. Step 4: Simplify right side
    49,681.86x = 2,023,514,431.38
  5. Step 5: Solve for x
    x = 2,023,514,431.38/49,681.86
  6. Step 6: Final answer
    x = 40,729.44

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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.