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Finding the Fourth Proportional to 89,785.58, 123,902.38 and 48,950.13

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Solution

The fourth proportional to 89,785.58, 123,902.38 and 48,950.13 is: 67,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,785.58 : 123,902.38 = 48,950.13 : x
  2. Step 2: Convert to fraction form
    89,785.58/123,902.38 = 48,950.13/x
  3. Step 3: Cross multiply
    89,785.58x = 123,902.38 × 48,950.13
  4. Step 4: Simplify right side
    89,785.58x = 6,065,037,352.21
  5. Step 5: Solve for x
    x = 6,065,037,352.21/89,785.58
  6. Step 6: Final answer
    x = 67,550.24

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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.