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Finding the Fourth Proportional to 32,486.97, 48,733.17 and 11,425.23

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Solution

The fourth proportional to 32,486.97, 48,733.17 and 11,425.23 is: 17,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.97 : 48,733.17 = 11,425.23 : x
  2. Step 2: Convert to fraction form
    32,486.97/48,733.17 = 11,425.23/x
  3. Step 3: Cross multiply
    32,486.97x = 48,733.17 × 11,425.23
  4. Step 4: Simplify right side
    32,486.97x = 556,787,675.88
  5. Step 5: Solve for x
    x = 556,787,675.88/32,486.97
  6. Step 6: Final answer
    x = 17,138.80

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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.