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Finding the Fourth Proportional to 89,524.80, 123,534.54 and 51,792

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Solution

The fourth proportional to 89,524.80, 123,534.54 and 51,792 is: 71,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524.80 : 123,534.54 = 51,792 : x
  2. Step 2: Convert to fraction form
    89,524.80/123,534.54 = 51,792/x
  3. Step 3: Cross multiply
    89,524.80x = 123,534.54 × 51,792
  4. Step 4: Simplify right side
    89,524.80x = 6,398,100,895.68
  5. Step 5: Solve for x
    x = 6,398,100,895.68/89,524.80
  6. Step 6: Final answer
    x = 71,467.36

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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.