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Finding the Fourth Proportional to 83,580.37, 125,403.37 and 36,800.44

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Solution

The fourth proportional to 83,580.37, 125,403.37 and 36,800.44 is: 55,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580.37 : 125,403.37 = 36,800.44 : x
  2. Step 2: Convert to fraction form
    83,580.37/125,403.37 = 36,800.44/x
  3. Step 3: Cross multiply
    83,580.37x = 125,403.37 × 36,800.44
  4. Step 4: Simplify right side
    83,580.37x = 4,614,898,787.97
  5. Step 5: Solve for x
    x = 4,614,898,787.97/83,580.37
  6. Step 6: Final answer
    x = 55,215.11

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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.