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Finding the Fourth Proportional to 89,561.88, 123,595.38 and 49,274.78

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Solution

The fourth proportional to 89,561.88, 123,595.38 and 49,274.78 is: 67,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,561.88 : 123,595.38 = 49,274.78 : x
  2. Step 2: Convert to fraction form
    89,561.88/123,595.38 = 49,274.78/x
  3. Step 3: Cross multiply
    89,561.88x = 123,595.38 × 49,274.78
  4. Step 4: Simplify right side
    89,561.88x = 6,090,135,158.52
  5. Step 5: Solve for x
    x = 6,090,135,158.52/89,561.88
  6. Step 6: Final answer
    x = 67,999.19

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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.