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Finding the Fourth Proportional to 69,876.77, 96,431.67 and 38,047.41

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Solution

The fourth proportional to 69,876.77, 96,431.67 and 38,047.41 is: 52,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.77 : 96,431.67 = 38,047.41 : x
  2. Step 2: Convert to fraction form
    69,876.77/96,431.67 = 38,047.41/x
  3. Step 3: Cross multiply
    69,876.77x = 96,431.67 × 38,047.41
  4. Step 4: Simplify right side
    69,876.77x = 3,668,975,285.47
  5. Step 5: Solve for x
    x = 3,668,975,285.47/69,876.77
  6. Step 6: Final answer
    x = 52,506.37

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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.