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Finding the Fourth Proportional to 69,846.92, 96,388.76 and 38,016.05

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Solution

The fourth proportional to 69,846.92, 96,388.76 and 38,016.05 is: 52,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,846.92 : 96,388.76 = 38,016.05 : x
  2. Step 2: Convert to fraction form
    69,846.92/96,388.76 = 38,016.05/x
  3. Step 3: Cross multiply
    69,846.92x = 96,388.76 × 38,016.05
  4. Step 4: Simplify right side
    69,846.92x = 3,664,319,729.52
  5. Step 5: Solve for x
    x = 3,664,319,729.52/69,846.92
  6. Step 6: Final answer
    x = 52,462.15

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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.