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Finding the Fourth Proportional to 69,846, 96,387.46 and 38,015.13

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Solution

The fourth proportional to 69,846, 96,387.46 and 38,015.13 is: 52,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,846 : 96,387.46 = 38,015.13 : x
  2. Step 2: Convert to fraction form
    69,846/96,387.46 = 38,015.13/x
  3. Step 3: Cross multiply
    69,846x = 96,387.46 × 38,015.13
  4. Step 4: Simplify right side
    69,846x = 3,664,181,822.27
  5. Step 5: Solve for x
    x = 3,664,181,822.27/69,846
  6. Step 6: Final answer
    x = 52,460.87

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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.