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Finding the Fourth Proportional to 42,952.71, 59,262.60 and 27,846

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Solution

The fourth proportional to 42,952.71, 59,262.60 and 27,846 is: 38,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952.71 : 59,262.60 = 27,846 : x
  2. Step 2: Convert to fraction form
    42,952.71/59,262.60 = 27,846/x
  3. Step 3: Cross multiply
    42,952.71x = 59,262.60 × 27,846
  4. Step 4: Simplify right side
    42,952.71x = 1,650,226,359.60
  5. Step 5: Solve for x
    x = 1,650,226,359.60/42,952.71
  6. Step 6: Final answer
    x = 38,419.61

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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.