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Finding the Fourth Proportional to 83,223.64, 124,835.52 and 27,819.64

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Solution

The fourth proportional to 83,223.64, 124,835.52 and 27,819.64 is: 41,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.64 : 124,835.52 = 27,819.64 : x
  2. Step 2: Convert to fraction form
    83,223.64/124,835.52 = 27,819.64/x
  3. Step 3: Cross multiply
    83,223.64x = 124,835.52 × 27,819.64
  4. Step 4: Simplify right side
    83,223.64x = 3,472,879,225.61
  5. Step 5: Solve for x
    x = 3,472,879,225.61/83,223.64
  6. Step 6: Final answer
    x = 41,729.48

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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.