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Finding the Fourth Proportional to 36,141.74, 54,212.68 and 23,672.20

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Solution

The fourth proportional to 36,141.74, 54,212.68 and 23,672.20 is: 35,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.74 : 54,212.68 = 23,672.20 : x
  2. Step 2: Convert to fraction form
    36,141.74/54,212.68 = 23,672.20/x
  3. Step 3: Cross multiply
    36,141.74x = 54,212.68 × 23,672.20
  4. Step 4: Simplify right side
    36,141.74x = 1,283,333,403.50
  5. Step 5: Solve for x
    x = 1,283,333,403.50/36,141.74
  6. Step 6: Final answer
    x = 35,508.35

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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.