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Finding the Fourth Proportional to 57,011.38, 78,668.89 and 31,514.31

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Solution

The fourth proportional to 57,011.38, 78,668.89 and 31,514.31 is: 43,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,011.38 : 78,668.89 = 31,514.31 : x
  2. Step 2: Convert to fraction form
    57,011.38/78,668.89 = 31,514.31/x
  3. Step 3: Cross multiply
    57,011.38x = 78,668.89 × 31,514.31
  4. Step 4: Simplify right side
    57,011.38x = 2,479,195,708.03
  5. Step 5: Solve for x
    x = 2,479,195,708.03/57,011.38
  6. Step 6: Final answer
    x = 43,485.98

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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.