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Finding the Fourth Proportional to 49,119.92, 67,785.64 and 27,899.36

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Solution

The fourth proportional to 49,119.92, 67,785.64 and 27,899.36 is: 38,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,119.92 : 67,785.64 = 27,899.36 : x
  2. Step 2: Convert to fraction form
    49,119.92/67,785.64 = 27,899.36/x
  3. Step 3: Cross multiply
    49,119.92x = 67,785.64 × 27,899.36
  4. Step 4: Simplify right side
    49,119.92x = 1,891,175,973.19
  5. Step 5: Solve for x
    x = 1,891,175,973.19/49,119.92
  6. Step 6: Final answer
    x = 38,501.20

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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.