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Finding the Fourth Proportional to 86,433.80, 129,598.84 and 33,780.56

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Solution

The fourth proportional to 86,433.80, 129,598.84 and 33,780.56 is: 50,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,433.80 : 129,598.84 = 33,780.56 : x
  2. Step 2: Convert to fraction form
    86,433.80/129,598.84 = 33,780.56/x
  3. Step 3: Cross multiply
    86,433.80x = 129,598.84 × 33,780.56
  4. Step 4: Simplify right side
    86,433.80x = 4,377,921,390.55
  5. Step 5: Solve for x
    x = 4,377,921,390.55/86,433.80
  6. Step 6: Final answer
    x = 50,650.57

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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.