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Finding the Fourth Proportional to 83,420.37, 125,129.57 and 33,499.58

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Solution

The fourth proportional to 83,420.37, 125,129.57 and 33,499.58 is: 50,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,420.37 : 125,129.57 = 33,499.58 : x
  2. Step 2: Convert to fraction form
    83,420.37/125,129.57 = 33,499.58/x
  3. Step 3: Cross multiply
    83,420.37x = 125,129.57 × 33,499.58
  4. Step 4: Simplify right side
    83,420.37x = 4,191,787,247.43
  5. Step 5: Solve for x
    x = 4,191,787,247.43/83,420.37
  6. Step 6: Final answer
    x = 50,248.96

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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.