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Finding the Fourth Proportional to 67,824.76, 93,593.10 and 38,011

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Solution

The fourth proportional to 67,824.76, 93,593.10 and 38,011 is: 52,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824.76 : 93,593.10 = 38,011 : x
  2. Step 2: Convert to fraction form
    67,824.76/93,593.10 = 38,011/x
  3. Step 3: Cross multiply
    67,824.76x = 93,593.10 × 38,011
  4. Step 4: Simplify right side
    67,824.76x = 3,557,567,324.10
  5. Step 5: Solve for x
    x = 3,557,567,324.10/67,824.76
  6. Step 6: Final answer
    x = 52,452.34

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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.