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Finding the Fourth Proportional to 27,530.38, 37,951.92 and 20,349.70

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Solution

The fourth proportional to 27,530.38, 37,951.92 and 20,349.70 is: 28,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.38 : 37,951.92 = 20,349.70 : x
  2. Step 2: Convert to fraction form
    27,530.38/37,951.92 = 20,349.70/x
  3. Step 3: Cross multiply
    27,530.38x = 37,951.92 × 20,349.70
  4. Step 4: Simplify right side
    27,530.38x = 772,310,186.42
  5. Step 5: Solve for x
    x = 772,310,186.42/27,530.38
  6. Step 6: Final answer
    x = 28,053.02

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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.