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Finding the Fourth Proportional to 58,554.86, 80,806.26 and 31,697.88

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Solution

The fourth proportional to 58,554.86, 80,806.26 and 31,697.88 is: 43,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,554.86 : 80,806.26 = 31,697.88 : x
  2. Step 2: Convert to fraction form
    58,554.86/80,806.26 = 31,697.88/x
  3. Step 3: Cross multiply
    58,554.86x = 80,806.26 × 31,697.88
  4. Step 4: Simplify right side
    58,554.86x = 2,561,387,132.73
  5. Step 5: Solve for x
    x = 2,561,387,132.73/58,554.86
  6. Step 6: Final answer
    x = 43,743.38

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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.