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Finding the Fourth Proportional to 49,120.71, 67,788.14 and 27,898.71

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Solution

The fourth proportional to 49,120.71, 67,788.14 and 27,898.71 is: 38,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,120.71 : 67,788.14 = 27,898.71 : x
  2. Step 2: Convert to fraction form
    49,120.71/67,788.14 = 27,898.71/x
  3. Step 3: Cross multiply
    49,120.71x = 67,788.14 × 27,898.71
  4. Step 4: Simplify right side
    49,120.71x = 1,891,201,519.81
  5. Step 5: Solve for x
    x = 1,891,201,519.81/49,120.71
  6. Step 6: Final answer
    x = 38,501.10

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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.