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Finding the Fourth Proportional to 89,195.56, 123,091.26 and 48,913

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Solution

The fourth proportional to 89,195.56, 123,091.26 and 48,913 is: 67,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,195.56 : 123,091.26 = 48,913 : x
  2. Step 2: Convert to fraction form
    89,195.56/123,091.26 = 48,913/x
  3. Step 3: Cross multiply
    89,195.56x = 123,091.26 × 48,913
  4. Step 4: Simplify right side
    89,195.56x = 6,020,762,800.38
  5. Step 5: Solve for x
    x = 6,020,762,800.38/89,195.56
  6. Step 6: Final answer
    x = 67,500.70

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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.