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Finding the Fourth Proportional to 113,118.87, 169,672.96 and 38,242

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Solution

The fourth proportional to 113,118.87, 169,672.96 and 38,242 is: 57,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,118.87 : 169,672.96 = 38,242 : x
  2. Step 2: Convert to fraction form
    113,118.87/169,672.96 = 38,242/x
  3. Step 3: Cross multiply
    113,118.87x = 169,672.96 × 38,242
  4. Step 4: Simplify right side
    113,118.87x = 6,488,633,336.32
  5. Step 5: Solve for x
    x = 6,488,633,336.32/113,118.87
  6. Step 6: Final answer
    x = 57,361.19

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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.