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Finding the Fourth Proportional to 83,096.60, 124,620.60 and 29,782.40

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Solution

The fourth proportional to 83,096.60, 124,620.60 and 29,782.40 is: 44,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,096.60 : 124,620.60 = 29,782.40 : x
  2. Step 2: Convert to fraction form
    83,096.60/124,620.60 = 29,782.40/x
  3. Step 3: Cross multiply
    83,096.60x = 124,620.60 × 29,782.40
  4. Step 4: Simplify right side
    83,096.60x = 3,711,500,557.44
  5. Step 5: Solve for x
    x = 3,711,500,557.44/83,096.60
  6. Step 6: Final answer
    x = 44,664.89

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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.