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Finding the Fourth Proportional to 69,822.86, 96,355.10 and 37,991.88

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Solution

The fourth proportional to 69,822.86, 96,355.10 and 37,991.88 is: 52,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,822.86 : 96,355.10 = 37,991.88 : x
  2. Step 2: Convert to fraction form
    69,822.86/96,355.10 = 37,991.88/x
  3. Step 3: Cross multiply
    69,822.86x = 96,355.10 × 37,991.88
  4. Step 4: Simplify right side
    69,822.86x = 3,660,711,396.59
  5. Step 5: Solve for x
    x = 3,660,711,396.59/69,822.86
  6. Step 6: Final answer
    x = 52,428.55

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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.