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Finding the Fourth Proportional to 48,980.38, 67,594.35 and 27,758.92

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Solution

The fourth proportional to 48,980.38, 67,594.35 and 27,758.92 is: 38,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,980.38 : 67,594.35 = 27,758.92 : x
  2. Step 2: Convert to fraction form
    48,980.38/67,594.35 = 27,758.92/x
  3. Step 3: Cross multiply
    48,980.38x = 67,594.35 × 27,758.92
  4. Step 4: Simplify right side
    48,980.38x = 1,876,346,154.10
  5. Step 5: Solve for x
    x = 1,876,346,154.10/48,980.38
  6. Step 6: Final answer
    x = 38,308.12

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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.