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Finding the Fourth Proportional to 113,726, 170,589 and 39,854

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Solution

The fourth proportional to 113,726, 170,589 and 39,854 is: 59,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,726 : 170,589 = 39,854 : x
  2. Step 2: Convert to fraction form
    113,726/170,589 = 39,854/x
  3. Step 3: Cross multiply
    113,726x = 170,589 × 39,854
  4. Step 4: Simplify right side
    113,726x = 6,798,654,006
  5. Step 5: Solve for x
    x = 6,798,654,006/113,726
  6. Step 6: Final answer
    x = 59,781

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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.