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Finding the Fourth Proportional to 36,389.38, 50,214.64 and 20,470.76

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Solution

The fourth proportional to 36,389.38, 50,214.64 and 20,470.76 is: 28,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,389.38 : 50,214.64 = 20,470.76 : x
  2. Step 2: Convert to fraction form
    36,389.38/50,214.64 = 20,470.76/x
  3. Step 3: Cross multiply
    36,389.38x = 50,214.64 × 20,470.76
  4. Step 4: Simplify right side
    36,389.38x = 1,027,931,843.93
  5. Step 5: Solve for x
    x = 1,027,931,843.93/36,389.38
  6. Step 6: Final answer
    x = 28,248.13

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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.