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Finding the Fourth Proportional to 101,589.49, 152,394.25 and 35,020.86

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Solution

The fourth proportional to 101,589.49, 152,394.25 and 35,020.86 is: 52,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,589.49 : 152,394.25 = 35,020.86 : x
  2. Step 2: Convert to fraction form
    101,589.49/152,394.25 = 35,020.86/x
  3. Step 3: Cross multiply
    101,589.49x = 152,394.25 × 35,020.86
  4. Step 4: Simplify right side
    101,589.49x = 5,336,977,694.06
  5. Step 5: Solve for x
    x = 5,336,977,694.06/101,589.49
  6. Step 6: Final answer
    x = 52,534.74

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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.