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Finding the Fourth Proportional to 38,690.20, 58,298.89 and 31,824.04

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Solution

The fourth proportional to 38,690.20, 58,298.89 and 31,824.04 is: 47,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690.20 : 58,298.89 = 31,824.04 : x
  2. Step 2: Convert to fraction form
    38,690.20/58,298.89 = 31,824.04/x
  3. Step 3: Cross multiply
    38,690.20x = 58,298.89 × 31,824.04
  4. Step 4: Simplify right side
    38,690.20x = 1,855,306,207.32
  5. Step 5: Solve for x
    x = 1,855,306,207.32/38,690.20
  6. Step 6: Final answer
    x = 47,952.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.