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Finding the Fourth Proportional to 71,514.90, 107,238.98 and 26,534.46

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Solution

The fourth proportional to 71,514.90, 107,238.98 and 26,534.46 is: 39,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514.90 : 107,238.98 = 26,534.46 : x
  2. Step 2: Convert to fraction form
    71,514.90/107,238.98 = 26,534.46/x
  3. Step 3: Cross multiply
    71,514.90x = 107,238.98 × 26,534.46
  4. Step 4: Simplify right side
    71,514.90x = 2,845,528,425.25
  5. Step 5: Solve for x
    x = 2,845,528,425.25/71,514.90
  6. Step 6: Final answer
    x = 39,789.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.