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Finding the Fourth Proportional to 89,150.26, 123,022.02 and 48,856

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Solution

The fourth proportional to 89,150.26, 123,022.02 and 48,856 is: 67,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,150.26 : 123,022.02 = 48,856 : x
  2. Step 2: Convert to fraction form
    89,150.26/123,022.02 = 48,856/x
  3. Step 3: Cross multiply
    89,150.26x = 123,022.02 × 48,856
  4. Step 4: Simplify right side
    89,150.26x = 6,010,363,809.12
  5. Step 5: Solve for x
    x = 6,010,363,809.12/89,150.26
  6. Step 6: Final answer
    x = 67,418.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.