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Finding the Fourth Proportional to 101,755.26, 152,464.41 and 35,158.38

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Solution

The fourth proportional to 101,755.26, 152,464.41 and 35,158.38 is: 52,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.26 : 152,464.41 = 35,158.38 : x
  2. Step 2: Convert to fraction form
    101,755.26/152,464.41 = 35,158.38/x
  3. Step 3: Cross multiply
    101,755.26x = 152,464.41 × 35,158.38
  4. Step 4: Simplify right side
    101,755.26x = 5,360,401,326.04
  5. Step 5: Solve for x
    x = 5,360,401,326.04/101,755.26
  6. Step 6: Final answer
    x = 52,679.35

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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.