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Finding the Fourth Proportional to 78,822.68, 118,251.84 and 26,234.24

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Solution

The fourth proportional to 78,822.68, 118,251.84 and 26,234.24 is: 39,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822.68 : 118,251.84 = 26,234.24 : x
  2. Step 2: Convert to fraction form
    78,822.68/118,251.84 = 26,234.24/x
  3. Step 3: Cross multiply
    78,822.68x = 118,251.84 × 26,234.24
  4. Step 4: Simplify right side
    78,822.68x = 3,102,247,151.00
  5. Step 5: Solve for x
    x = 3,102,247,151.00/78,822.68
  6. Step 6: Final answer
    x = 39,357.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.