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Finding the Fourth Proportional to 31,953.86, 44,073.54 and 27,697.32

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Solution

The fourth proportional to 31,953.86, 44,073.54 and 27,697.32 is: 38,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.86 : 44,073.54 = 27,697.32 : x
  2. Step 2: Convert to fraction form
    31,953.86/44,073.54 = 27,697.32/x
  3. Step 3: Cross multiply
    31,953.86x = 44,073.54 × 27,697.32
  4. Step 4: Simplify right side
    31,953.86x = 1,220,718,940.91
  5. Step 5: Solve for x
    x = 1,220,718,940.91/31,953.86
  6. Step 6: Final answer
    x = 38,202.55

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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.