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Finding the Fourth Proportional to 61,384.88, 84,708.60 and 34,159.88

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Solution

The fourth proportional to 61,384.88, 84,708.60 and 34,159.88 is: 47,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,384.88 : 84,708.60 = 34,159.88 : x
  2. Step 2: Convert to fraction form
    61,384.88/84,708.60 = 34,159.88/x
  3. Step 3: Cross multiply
    61,384.88x = 84,708.60 × 34,159.88
  4. Step 4: Simplify right side
    61,384.88x = 2,893,635,610.97
  5. Step 5: Solve for x
    x = 2,893,635,610.97/61,384.88
  6. Step 6: Final answer
    x = 47,139.22

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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.