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Finding the Fourth Proportional to 83,906.32, 125,856.60 and 24,739.60

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Solution

The fourth proportional to 83,906.32, 125,856.60 and 24,739.60 is: 37,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.32 : 125,856.60 = 24,739.60 : x
  2. Step 2: Convert to fraction form
    83,906.32/125,856.60 = 24,739.60/x
  3. Step 3: Cross multiply
    83,906.32x = 125,856.60 × 24,739.60
  4. Step 4: Simplify right side
    83,906.32x = 3,113,641,941.36
  5. Step 5: Solve for x
    x = 3,113,641,941.36/83,906.32
  6. Step 6: Final answer
    x = 37,108.55

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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.