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Finding the Fourth Proportional to 38,956.57, 58,414.84 and 17,878.46

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Solution

The fourth proportional to 38,956.57, 58,414.84 and 17,878.46 is: 26,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,956.57 : 58,414.84 = 17,878.46 : x
  2. Step 2: Convert to fraction form
    38,956.57/58,414.84 = 17,878.46/x
  3. Step 3: Cross multiply
    38,956.57x = 58,414.84 × 17,878.46
  4. Step 4: Simplify right side
    38,956.57x = 1,044,367,380.35
  5. Step 5: Solve for x
    x = 1,044,367,380.35/38,956.57
  6. Step 6: Final answer
    x = 26,808.50

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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.