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Finding the Fourth Proportional to 57,306.26, 79,081.38 and 31,811.13

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Solution

The fourth proportional to 57,306.26, 79,081.38 and 31,811.13 is: 43,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,306.26 : 79,081.38 = 31,811.13 : x
  2. Step 2: Convert to fraction form
    57,306.26/79,081.38 = 31,811.13/x
  3. Step 3: Cross multiply
    57,306.26x = 79,081.38 × 31,811.13
  4. Step 4: Simplify right side
    57,306.26x = 2,515,668,059.76
  5. Step 5: Solve for x
    x = 2,515,668,059.76/57,306.26
  6. Step 6: Final answer
    x = 43,898.66

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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.