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Finding the Fourth Proportional to 69,731.88, 96,230.34 and 37,901.40

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Solution

The fourth proportional to 69,731.88, 96,230.34 and 37,901.40 is: 52,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,731.88 : 96,230.34 = 37,901.40 : x
  2. Step 2: Convert to fraction form
    69,731.88/96,230.34 = 37,901.40/x
  3. Step 3: Cross multiply
    69,731.88x = 96,230.34 × 37,901.40
  4. Step 4: Simplify right side
    69,731.88x = 3,647,264,608.48
  5. Step 5: Solve for x
    x = 3,647,264,608.48/69,731.88
  6. Step 6: Final answer
    x = 52,304.12

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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.