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Finding the Fourth Proportional to 71,808.70, 107,646.06 and 24,391.35

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Solution

The fourth proportional to 71,808.70, 107,646.06 and 24,391.35 is: 36,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808.70 : 107,646.06 = 24,391.35 : x
  2. Step 2: Convert to fraction form
    71,808.70/107,646.06 = 24,391.35/x
  3. Step 3: Cross multiply
    71,808.70x = 107,646.06 × 24,391.35
  4. Step 4: Simplify right side
    71,808.70x = 2,625,633,119.80
  5. Step 5: Solve for x
    x = 2,625,633,119.80/71,808.70
  6. Step 6: Final answer
    x = 36,564.27

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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.