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Finding the Fourth Proportional to 61,424.43, 84,766.32 and 34,200.89

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Solution

The fourth proportional to 61,424.43, 84,766.32 and 34,200.89 is: 47,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424.43 : 84,766.32 = 34,200.89 : x
  2. Step 2: Convert to fraction form
    61,424.43/84,766.32 = 34,200.89/x
  3. Step 3: Cross multiply
    61,424.43x = 84,766.32 × 34,200.89
  4. Step 4: Simplify right side
    61,424.43x = 2,899,083,797.94
  5. Step 5: Solve for x
    x = 2,899,083,797.94/61,424.43
  6. Step 6: Final answer
    x = 47,197.57

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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.