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Finding the Fourth Proportional to 69,833.64, 96,370.25 and 38,002.53

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Solution

The fourth proportional to 69,833.64, 96,370.25 and 38,002.53 is: 52,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.64 : 96,370.25 = 38,002.53 : x
  2. Step 2: Convert to fraction form
    69,833.64/96,370.25 = 38,002.53/x
  3. Step 3: Cross multiply
    69,833.64x = 96,370.25 × 38,002.53
  4. Step 4: Simplify right side
    69,833.64x = 3,662,313,126.72
  5. Step 5: Solve for x
    x = 3,662,313,126.72/69,833.64
  6. Step 6: Final answer
    x = 52,443.39

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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.