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Finding the Fourth Proportional to 83,514.98, 125,212.98 and 39,117.44

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Solution

The fourth proportional to 83,514.98, 125,212.98 and 39,117.44 is: 58,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514.98 : 125,212.98 = 39,117.44 : x
  2. Step 2: Convert to fraction form
    83,514.98/125,212.98 = 39,117.44/x
  3. Step 3: Cross multiply
    83,514.98x = 125,212.98 × 39,117.44
  4. Step 4: Simplify right side
    83,514.98x = 4,898,011,232.37
  5. Step 5: Solve for x
    x = 4,898,011,232.37/83,514.98
  6. Step 6: Final answer
    x = 58,648.30

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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.