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Finding the Fourth Proportional to 62,841.48, 86,721.54 and 34,549

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Solution

The fourth proportional to 62,841.48, 86,721.54 and 34,549 is: 47,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,841.48 : 86,721.54 = 34,549 : x
  2. Step 2: Convert to fraction form
    62,841.48/86,721.54 = 34,549/x
  3. Step 3: Cross multiply
    62,841.48x = 86,721.54 × 34,549
  4. Step 4: Simplify right side
    62,841.48x = 2,996,142,485.46
  5. Step 5: Solve for x
    x = 2,996,142,485.46/62,841.48
  6. Step 6: Final answer
    x = 47,677.78

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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.