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Finding the Fourth Proportional to 71,347.30, 107,020.89 and 24,596.50

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Solution

The fourth proportional to 71,347.30, 107,020.89 and 24,596.50 is: 36,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,347.30 : 107,020.89 = 24,596.50 : x
  2. Step 2: Convert to fraction form
    71,347.30/107,020.89 = 24,596.50/x
  3. Step 3: Cross multiply
    71,347.30x = 107,020.89 × 24,596.50
  4. Step 4: Simplify right side
    71,347.30x = 2,632,339,320.89
  5. Step 5: Solve for x
    x = 2,632,339,320.89/71,347.30
  6. Step 6: Final answer
    x = 36,894.73

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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.