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Finding the Fourth Proportional to 86,543.60, 129,837 and 24,213.56

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Solution

The fourth proportional to 86,543.60, 129,837 and 24,213.56 is: 36,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543.60 : 129,837 = 24,213.56 : x
  2. Step 2: Convert to fraction form
    86,543.60/129,837 = 24,213.56/x
  3. Step 3: Cross multiply
    86,543.60x = 129,837 × 24,213.56
  4. Step 4: Simplify right side
    86,543.60x = 3,143,815,989.72
  5. Step 5: Solve for x
    x = 3,143,815,989.72/86,543.60
  6. Step 6: Final answer
    x = 36,326.38

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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.