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Finding the Fourth Proportional to 61,830.71, 85,324.79 and 34,234.41

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Solution

The fourth proportional to 61,830.71, 85,324.79 and 34,234.41 is: 47,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830.71 : 85,324.79 = 34,234.41 : x
  2. Step 2: Convert to fraction form
    61,830.71/85,324.79 = 34,234.41/x
  3. Step 3: Cross multiply
    61,830.71x = 85,324.79 × 34,234.41
  4. Step 4: Simplify right side
    61,830.71x = 2,921,044,249.58
  5. Step 5: Solve for x
    x = 2,921,044,249.58/61,830.71
  6. Step 6: Final answer
    x = 47,242.61

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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.