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Finding the Fourth Proportional to 38,454.12, 57,706.92 and 13,494.29

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Solution

The fourth proportional to 38,454.12, 57,706.92 and 13,494.29 is: 20,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.12 : 57,706.92 = 13,494.29 : x
  2. Step 2: Convert to fraction form
    38,454.12/57,706.92 = 13,494.29/x
  3. Step 3: Cross multiply
    38,454.12x = 57,706.92 × 13,494.29
  4. Step 4: Simplify right side
    38,454.12x = 778,713,624.95
  5. Step 5: Solve for x
    x = 778,713,624.95/38,454.12
  6. Step 6: Final answer
    x = 20,250.46

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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.