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Finding the Fourth Proportional to 38,713.76, 58,023.20 and 27,560

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Solution

The fourth proportional to 38,713.76, 58,023.20 and 27,560 is: 41,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.76 : 58,023.20 = 27,560 : x
  2. Step 2: Convert to fraction form
    38,713.76/58,023.20 = 27,560/x
  3. Step 3: Cross multiply
    38,713.76x = 58,023.20 × 27,560
  4. Step 4: Simplify right side
    38,713.76x = 1,599,119,392
  5. Step 5: Solve for x
    x = 1,599,119,392/38,713.76
  6. Step 6: Final answer
    x = 41,306.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.