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Finding the Fourth Proportional to 47,356.38, 65,343.78 and 27,214.20

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Solution

The fourth proportional to 47,356.38, 65,343.78 and 27,214.20 is: 37,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356.38 : 65,343.78 = 27,214.20 : x
  2. Step 2: Convert to fraction form
    47,356.38/65,343.78 = 27,214.20/x
  3. Step 3: Cross multiply
    47,356.38x = 65,343.78 × 27,214.20
  4. Step 4: Simplify right side
    47,356.38x = 1,778,278,697.68
  5. Step 5: Solve for x
    x = 1,778,278,697.68/47,356.38
  6. Step 6: Final answer
    x = 37,550.98

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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.