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Finding the Fourth Proportional to 83,199.60, 124,815.60 and 35,814.60

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Solution

The fourth proportional to 83,199.60, 124,815.60 and 35,814.60 is: 53,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,199.60 : 124,815.60 = 35,814.60 : x
  2. Step 2: Convert to fraction form
    83,199.60/124,815.60 = 35,814.60/x
  3. Step 3: Cross multiply
    83,199.60x = 124,815.60 × 35,814.60
  4. Step 4: Simplify right side
    83,199.60x = 4,470,220,787.76
  5. Step 5: Solve for x
    x = 4,470,220,787.76/83,199.60
  6. Step 6: Final answer
    x = 53,728.87

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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.