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Finding the Fourth Proportional to 113,093.16, 169,638 and 38,265.88

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Solution

The fourth proportional to 113,093.16, 169,638 and 38,265.88 is: 57,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,093.16 : 169,638 = 38,265.88 : x
  2. Step 2: Convert to fraction form
    113,093.16/169,638 = 38,265.88/x
  3. Step 3: Cross multiply
    113,093.16x = 169,638 × 38,265.88
  4. Step 4: Simplify right side
    113,093.16x = 6,491,347,351.44
  5. Step 5: Solve for x
    x = 6,491,347,351.44/113,093.16
  6. Step 6: Final answer
    x = 57,398.23

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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.