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Finding the Fourth Proportional to 83,908.32, 125,859.60 and 24,741.60

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Solution

The fourth proportional to 83,908.32, 125,859.60 and 24,741.60 is: 37,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,908.32 : 125,859.60 = 24,741.60 : x
  2. Step 2: Convert to fraction form
    83,908.32/125,859.60 = 24,741.60/x
  3. Step 3: Cross multiply
    83,908.32x = 125,859.60 × 24,741.60
  4. Step 4: Simplify right side
    83,908.32x = 3,113,967,879.36
  5. Step 5: Solve for x
    x = 3,113,967,879.36/83,908.32
  6. Step 6: Final answer
    x = 37,111.55

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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.