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Finding the Fourth Proportional to 89,402.82, 123,375.38 and 49,115.72

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Solution

The fourth proportional to 89,402.82, 123,375.38 and 49,115.72 is: 67,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,402.82 : 123,375.38 = 49,115.72 : x
  2. Step 2: Convert to fraction form
    89,402.82/123,375.38 = 49,115.72/x
  3. Step 3: Cross multiply
    89,402.82x = 123,375.38 × 49,115.72
  4. Step 4: Simplify right side
    89,402.82x = 6,059,669,756.52
  5. Step 5: Solve for x
    x = 6,059,669,756.52/89,402.82
  6. Step 6: Final answer
    x = 67,779.40

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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.