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Finding the Fourth Proportional to 48,677.84, 67,177.84 and 27,456.72

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Solution

The fourth proportional to 48,677.84, 67,177.84 and 27,456.72 is: 37,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677.84 : 67,177.84 = 27,456.72 : x
  2. Step 2: Convert to fraction form
    48,677.84/67,177.84 = 27,456.72/x
  3. Step 3: Cross multiply
    48,677.84x = 67,177.84 × 27,456.72
  4. Step 4: Simplify right side
    48,677.84x = 1,844,483,143.08
  5. Step 5: Solve for x
    x = 1,844,483,143.08/48,677.84
  6. Step 6: Final answer
    x = 37,891.64

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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.