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Finding the Fourth Proportional to 71,306.24, 98,852.78 and 67,514

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Solution

The fourth proportional to 71,306.24, 98,852.78 and 67,514 is: 93,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306.24 : 98,852.78 = 67,514 : x
  2. Step 2: Convert to fraction form
    71,306.24/98,852.78 = 67,514/x
  3. Step 3: Cross multiply
    71,306.24x = 98,852.78 × 67,514
  4. Step 4: Simplify right side
    71,306.24x = 6,673,946,588.92
  5. Step 5: Solve for x
    x = 6,673,946,588.92/71,306.24
  6. Step 6: Final answer
    x = 93,595.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.