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Finding the Fourth Proportional to 61,234.43, 84,497.68 and 34,370.78

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Solution

The fourth proportional to 61,234.43, 84,497.68 and 34,370.78 is: 47,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,234.43 : 84,497.68 = 34,370.78 : x
  2. Step 2: Convert to fraction form
    61,234.43/84,497.68 = 34,370.78/x
  3. Step 3: Cross multiply
    61,234.43x = 84,497.68 × 34,370.78
  4. Step 4: Simplify right side
    61,234.43x = 2,904,251,466.96
  5. Step 5: Solve for x
    x = 2,904,251,466.96/61,234.43
  6. Step 6: Final answer
    x = 47,428.41

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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.