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Finding the Fourth Proportional to 42,969.74, 59,286.06 and 27,863

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Solution

The fourth proportional to 42,969.74, 59,286.06 and 27,863 is: 38,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,969.74 : 59,286.06 = 27,863 : x
  2. Step 2: Convert to fraction form
    42,969.74/59,286.06 = 27,863/x
  3. Step 3: Cross multiply
    42,969.74x = 59,286.06 × 27,863
  4. Step 4: Simplify right side
    42,969.74x = 1,651,887,489.78
  5. Step 5: Solve for x
    x = 1,651,887,489.78/42,969.74
  6. Step 6: Final answer
    x = 38,443.04

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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.