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Finding the Fourth Proportional to 69,995.48, 96,591.66 and 38,165

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Solution

The fourth proportional to 69,995.48, 96,591.66 and 38,165 is: 52,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,995.48 : 96,591.66 = 38,165 : x
  2. Step 2: Convert to fraction form
    69,995.48/96,591.66 = 38,165/x
  3. Step 3: Cross multiply
    69,995.48x = 96,591.66 × 38,165
  4. Step 4: Simplify right side
    69,995.48x = 3,686,420,703.90
  5. Step 5: Solve for x
    x = 3,686,420,703.90/69,995.48
  6. Step 6: Final answer
    x = 52,666.55

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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.