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Finding the Fourth Proportional to 69,378.60, 103,922.10 and 57,714.60

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Solution

The fourth proportional to 69,378.60, 103,922.10 and 57,714.60 is: 86,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,378.60 : 103,922.10 = 57,714.60 : x
  2. Step 2: Convert to fraction form
    69,378.60/103,922.10 = 57,714.60/x
  3. Step 3: Cross multiply
    69,378.60x = 103,922.10 × 57,714.60
  4. Step 4: Simplify right side
    69,378.60x = 5,997,822,432.66
  5. Step 5: Solve for x
    x = 5,997,822,432.66/69,378.60
  6. Step 6: Final answer
    x = 86,450.61

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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.