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Finding the Fourth Proportional to 69,876.75, 96,431.63 and 38,047.38

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Solution

The fourth proportional to 69,876.75, 96,431.63 and 38,047.38 is: 52,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.75 : 96,431.63 = 38,047.38 : x
  2. Step 2: Convert to fraction form
    69,876.75/96,431.63 = 38,047.38/x
  3. Step 3: Cross multiply
    69,876.75x = 96,431.63 × 38,047.38
  4. Step 4: Simplify right side
    69,876.75x = 3,668,970,680.39
  5. Step 5: Solve for x
    x = 3,668,970,680.39/69,876.75
  6. Step 6: Final answer
    x = 52,506.32

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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.