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Finding the Fourth Proportional to 82,763.60, 124,135.80 and 23,608.40

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Solution

The fourth proportional to 82,763.60, 124,135.80 and 23,608.40 is: 35,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.60 : 124,135.80 = 23,608.40 : x
  2. Step 2: Convert to fraction form
    82,763.60/124,135.80 = 23,608.40/x
  3. Step 3: Cross multiply
    82,763.60x = 124,135.80 × 23,608.40
  4. Step 4: Simplify right side
    82,763.60x = 2,930,647,620.72
  5. Step 5: Solve for x
    x = 2,930,647,620.72/82,763.60
  6. Step 6: Final answer
    x = 35,409.86

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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.