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Finding the Fourth Proportional to 37,649.28, 51,956.03 and 20,882.28

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Solution

The fourth proportional to 37,649.28, 51,956.03 and 20,882.28 is: 28,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.28 : 51,956.03 = 20,882.28 : x
  2. Step 2: Convert to fraction form
    37,649.28/51,956.03 = 20,882.28/x
  3. Step 3: Cross multiply
    37,649.28x = 51,956.03 × 20,882.28
  4. Step 4: Simplify right side
    37,649.28x = 1,084,960,366.15
  5. Step 5: Solve for x
    x = 1,084,960,366.15/37,649.28
  6. Step 6: Final answer
    x = 28,817.56

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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.