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Finding the Fourth Proportional to 89,855.68, 123,993.84 and 52,132.36

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Solution

The fourth proportional to 89,855.68, 123,993.84 and 52,132.36 is: 71,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,855.68 : 123,993.84 = 52,132.36 : x
  2. Step 2: Convert to fraction form
    89,855.68/123,993.84 = 52,132.36/x
  3. Step 3: Cross multiply
    89,855.68x = 123,993.84 × 52,132.36
  4. Step 4: Simplify right side
    89,855.68x = 6,464,091,504.66
  5. Step 5: Solve for x
    x = 6,464,091,504.66/89,855.68
  6. Step 6: Final answer
    x = 71,938.60

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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.