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Finding the Fourth Proportional to 48,897.60, 67,461.36 and 27,672.24

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Solution

The fourth proportional to 48,897.60, 67,461.36 and 27,672.24 is: 38,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897.60 : 67,461.36 = 27,672.24 : x
  2. Step 2: Convert to fraction form
    48,897.60/67,461.36 = 27,672.24/x
  3. Step 3: Cross multiply
    48,897.60x = 67,461.36 × 27,672.24
  4. Step 4: Simplify right side
    48,897.60x = 1,866,806,944.65
  5. Step 5: Solve for x
    x = 1,866,806,944.65/48,897.60
  6. Step 6: Final answer
    x = 38,177.88

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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.