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Finding the Fourth Proportional to 22,031.28, 33,047.28 and 7,241.76

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Solution

The fourth proportional to 22,031.28, 33,047.28 and 7,241.76 is: 10,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.28 : 33,047.28 = 7,241.76 : x
  2. Step 2: Convert to fraction form
    22,031.28/33,047.28 = 7,241.76/x
  3. Step 3: Cross multiply
    22,031.28x = 33,047.28 × 7,241.76
  4. Step 4: Simplify right side
    22,031.28x = 239,320,470.41
  5. Step 5: Solve for x
    x = 239,320,470.41/22,031.28
  6. Step 6: Final answer
    x = 10,862.76

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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.