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Finding the Fourth Proportional to 83,723.76, 125,591.04 and 36,976.50

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Solution

The fourth proportional to 83,723.76, 125,591.04 and 36,976.50 is: 55,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,723.76 : 125,591.04 = 36,976.50 : x
  2. Step 2: Convert to fraction form
    83,723.76/125,591.04 = 36,976.50/x
  3. Step 3: Cross multiply
    83,723.76x = 125,591.04 × 36,976.50
  4. Step 4: Simplify right side
    83,723.76x = 4,643,917,090.56
  5. Step 5: Solve for x
    x = 4,643,917,090.56/83,723.76
  6. Step 6: Final answer
    x = 55,467.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.