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Finding the Fourth Proportional to 48,884.64, 67,461.81 and 27,663.90

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Solution

The fourth proportional to 48,884.64, 67,461.81 and 27,663.90 is: 38,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,884.64 : 67,461.81 = 27,663.90 : x
  2. Step 2: Convert to fraction form
    48,884.64/67,461.81 = 27,663.90/x
  3. Step 3: Cross multiply
    48,884.64x = 67,461.81 × 27,663.90
  4. Step 4: Simplify right side
    48,884.64x = 1,866,256,765.66
  5. Step 5: Solve for x
    x = 1,866,256,765.66/48,884.64
  6. Step 6: Final answer
    x = 38,176.75

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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.