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Finding the Fourth Proportional to 34,159.70, 47,144.01 and 20,024.42

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Solution

The fourth proportional to 34,159.70, 47,144.01 and 20,024.42 is: 27,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.70 : 47,144.01 = 20,024.42 : x
  2. Step 2: Convert to fraction form
    34,159.70/47,144.01 = 20,024.42/x
  3. Step 3: Cross multiply
    34,159.70x = 47,144.01 × 20,024.42
  4. Step 4: Simplify right side
    34,159.70x = 944,031,456.72
  5. Step 5: Solve for x
    x = 944,031,456.72/34,159.70
  6. Step 6: Final answer
    x = 27,635.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.