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Finding the Fourth Proportional to 47,714.72, 71,534.44 and 30,147.52

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Solution

The fourth proportional to 47,714.72, 71,534.44 and 30,147.52 is: 45,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.72 : 71,534.44 = 30,147.52 : x
  2. Step 2: Convert to fraction form
    47,714.72/71,534.44 = 30,147.52/x
  3. Step 3: Cross multiply
    47,714.72x = 71,534.44 × 30,147.52
  4. Step 4: Simplify right side
    47,714.72x = 2,156,585,960.59
  5. Step 5: Solve for x
    x = 2,156,585,960.59/47,714.72
  6. Step 6: Final answer
    x = 45,197.50

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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.