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Finding the Fourth Proportional to 83,776.96, 125,674.60 and 36,359.46

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Solution

The fourth proportional to 83,776.96, 125,674.60 and 36,359.46 is: 54,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776.96 : 125,674.60 = 36,359.46 : x
  2. Step 2: Convert to fraction form
    83,776.96/125,674.60 = 36,359.46/x
  3. Step 3: Cross multiply
    83,776.96x = 125,674.60 × 36,359.46
  4. Step 4: Simplify right side
    83,776.96x = 4,569,460,591.72
  5. Step 5: Solve for x
    x = 4,569,460,591.72/83,776.96
  6. Step 6: Final answer
    x = 54,543.17

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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.