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Finding the Fourth Proportional to 37,882.62, 56,824.02 and 10,180.62

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Solution

The fourth proportional to 37,882.62, 56,824.02 and 10,180.62 is: 15,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,882.62 : 56,824.02 = 10,180.62 : x
  2. Step 2: Convert to fraction form
    37,882.62/56,824.02 = 10,180.62/x
  3. Step 3: Cross multiply
    37,882.62x = 56,824.02 × 10,180.62
  4. Step 4: Simplify right side
    37,882.62x = 578,503,754.49
  5. Step 5: Solve for x
    x = 578,503,754.49/37,882.62
  6. Step 6: Final answer
    x = 15,270.95

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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.