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Finding the Fourth Proportional to 47,142.56, 70,714.19 and 13,863.11

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Solution

The fourth proportional to 47,142.56, 70,714.19 and 13,863.11 is: 20,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.56 : 70,714.19 = 13,863.11 : x
  2. Step 2: Convert to fraction form
    47,142.56/70,714.19 = 13,863.11/x
  3. Step 3: Cross multiply
    47,142.56x = 70,714.19 × 13,863.11
  4. Step 4: Simplify right side
    47,142.56x = 980,318,275.62
  5. Step 5: Solve for x
    x = 980,318,275.62/47,142.56
  6. Step 6: Final answer
    x = 20,794.76

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