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Finding the Fourth Proportional to 69,845.67, 96,384 and 38,014.68

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Solution

The fourth proportional to 69,845.67, 96,384 and 38,014.68 is: 52,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,845.67 : 96,384 = 38,014.68 : x
  2. Step 2: Convert to fraction form
    69,845.67/96,384 = 38,014.68/x
  3. Step 3: Cross multiply
    69,845.67x = 96,384 × 38,014.68
  4. Step 4: Simplify right side
    69,845.67x = 3,664,006,917.12
  5. Step 5: Solve for x
    x = 3,664,006,917.12/69,845.67
  6. Step 6: Final answer
    x = 52,458.61

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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.