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Finding the Fourth Proportional to 49,025.52, 67,657.14 and 27,808.92

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Solution

The fourth proportional to 49,025.52, 67,657.14 and 27,808.92 is: 38,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,025.52 : 67,657.14 = 27,808.92 : x
  2. Step 2: Convert to fraction form
    49,025.52/67,657.14 = 27,808.92/x
  3. Step 3: Cross multiply
    49,025.52x = 67,657.14 × 27,808.92
  4. Step 4: Simplify right side
    49,025.52x = 1,881,471,993.69
  5. Step 5: Solve for x
    x = 1,881,471,993.69/49,025.52
  6. Step 6: Final answer
    x = 38,377.40

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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.