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Finding the Fourth Proportional to 51,487.45, 71,082.97 and 38,637

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Solution

The fourth proportional to 51,487.45, 71,082.97 and 38,637 is: 53,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,487.45 : 71,082.97 = 38,637 : x
  2. Step 2: Convert to fraction form
    51,487.45/71,082.97 = 38,637/x
  3. Step 3: Cross multiply
    51,487.45x = 71,082.97 × 38,637
  4. Step 4: Simplify right side
    51,487.45x = 2,746,432,615.30
  5. Step 5: Solve for x
    x = 2,746,432,615.30/51,487.45
  6. Step 6: Final answer
    x = 53,341.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.