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Finding the Fourth Proportional to 37,754.67, 52,102.78 and 20,760.20

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Solution

The fourth proportional to 37,754.67, 52,102.78 and 20,760.20 is: 28,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.67 : 52,102.78 = 20,760.20 : x
  2. Step 2: Convert to fraction form
    37,754.67/52,102.78 = 20,760.20/x
  3. Step 3: Cross multiply
    37,754.67x = 52,102.78 × 20,760.20
  4. Step 4: Simplify right side
    37,754.67x = 1,081,664,211.71
  5. Step 5: Solve for x
    x = 1,081,664,211.71/37,754.67
  6. Step 6: Final answer
    x = 28,649.82

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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.