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Finding the Fourth Proportional to 48,885, 67,461.36 and 27,663.84

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Solution

The fourth proportional to 48,885, 67,461.36 and 27,663.84 is: 38,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,885 : 67,461.36 = 27,663.84 : x
  2. Step 2: Convert to fraction form
    48,885/67,461.36 = 27,663.84/x
  3. Step 3: Cross multiply
    48,885x = 67,461.36 × 27,663.84
  4. Step 4: Simplify right side
    48,885x = 1,866,240,269.22
  5. Step 5: Solve for x
    x = 1,866,240,269.22/48,885
  6. Step 6: Final answer
    x = 38,176.13

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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.