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Finding the Fourth Proportional to 38,458.44, 57,689.76 and 12,161.22

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Solution

The fourth proportional to 38,458.44, 57,689.76 and 12,161.22 is: 18,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.44 : 57,689.76 = 12,161.22 : x
  2. Step 2: Convert to fraction form
    38,458.44/57,689.76 = 12,161.22/x
  3. Step 3: Cross multiply
    38,458.44x = 57,689.76 × 12,161.22
  4. Step 4: Simplify right side
    38,458.44x = 701,577,863.11
  5. Step 5: Solve for x
    x = 701,577,863.11/38,458.44
  6. Step 6: Final answer
    x = 18,242.49

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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.