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Finding the Fourth Proportional to 47,421.76, 71,131.02 and 22,473.76

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Solution

The fourth proportional to 47,421.76, 71,131.02 and 22,473.76 is: 33,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,421.76 : 71,131.02 = 22,473.76 : x
  2. Step 2: Convert to fraction form
    47,421.76/71,131.02 = 22,473.76/x
  3. Step 3: Cross multiply
    47,421.76x = 71,131.02 × 22,473.76
  4. Step 4: Simplify right side
    47,421.76x = 1,598,581,472.04
  5. Step 5: Solve for x
    x = 1,598,581,472.04/47,421.76
  6. Step 6: Final answer
    x = 33,709.87

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1.5x scale

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.