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Finding the Fourth Proportional to 42,226.50, 58,248.72 and 27,871.68

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Solution

The fourth proportional to 42,226.50, 58,248.72 and 27,871.68 is: 38,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,226.50 : 58,248.72 = 27,871.68 : x
  2. Step 2: Convert to fraction form
    42,226.50/58,248.72 = 27,871.68/x
  3. Step 3: Cross multiply
    42,226.50x = 58,248.72 × 27,871.68
  4. Step 4: Simplify right side
    42,226.50x = 1,623,489,684.25
  5. Step 5: Solve for x
    x = 1,623,489,684.25/42,226.50
  6. Step 6: Final answer
    x = 38,447.18

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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.