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Finding the Fourth Proportional to 71,763.74, 107,645.50 and 24,383.76

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Solution

The fourth proportional to 71,763.74, 107,645.50 and 24,383.76 is: 36,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.74 : 107,645.50 = 24,383.76 : x
  2. Step 2: Convert to fraction form
    71,763.74/107,645.50 = 24,383.76/x
  3. Step 3: Cross multiply
    71,763.74x = 107,645.50 × 24,383.76
  4. Step 4: Simplify right side
    71,763.74x = 2,624,801,376.93
  5. Step 5: Solve for x
    x = 2,624,801,376.93/71,763.74
  6. Step 6: Final answer
    x = 36,575.60

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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.