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Finding the Fourth Proportional to 38,497.20, 57,697.20 and 18,733.20

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Solution

The fourth proportional to 38,497.20, 57,697.20 and 18,733.20 is: 28,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.20 : 57,697.20 = 18,733.20 : x
  2. Step 2: Convert to fraction form
    38,497.20/57,697.20 = 18,733.20/x
  3. Step 3: Cross multiply
    38,497.20x = 57,697.20 × 18,733.20
  4. Step 4: Simplify right side
    38,497.20x = 1,080,853,187.04
  5. Step 5: Solve for x
    x = 1,080,853,187.04/38,497.20
  6. Step 6: Final answer
    x = 28,076.15

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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.