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Finding the Fourth Proportional to 77,056.56, 115,589.88 and 23,742

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Solution

The fourth proportional to 77,056.56, 115,589.88 and 23,742 is: 35,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056.56 : 115,589.88 = 23,742 : x
  2. Step 2: Convert to fraction form
    77,056.56/115,589.88 = 23,742/x
  3. Step 3: Cross multiply
    77,056.56x = 115,589.88 × 23,742
  4. Step 4: Simplify right side
    77,056.56x = 2,744,334,930.96
  5. Step 5: Solve for x
    x = 2,744,334,930.96/77,056.56
  6. Step 6: Final answer
    x = 35,614.55

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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.