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Finding the Fourth Proportional to 101,755.44, 152,464.90 and 35,158.56

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Solution

The fourth proportional to 101,755.44, 152,464.90 and 35,158.56 is: 52,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.44 : 152,464.90 = 35,158.56 : x
  2. Step 2: Convert to fraction form
    101,755.44/152,464.90 = 35,158.56/x
  3. Step 3: Cross multiply
    101,755.44x = 152,464.90 × 35,158.56
  4. Step 4: Simplify right side
    101,755.44x = 5,360,445,740.83
  5. Step 5: Solve for x
    x = 5,360,445,740.83/101,755.44
  6. Step 6: Final answer
    x = 52,679.70

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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.