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Finding the Fourth Proportional to 32,971.52, 49,453.62 and 9,279.82

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Solution

The fourth proportional to 32,971.52, 49,453.62 and 9,279.82 is: 13,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.52 : 49,453.62 = 9,279.82 : x
  2. Step 2: Convert to fraction form
    32,971.52/49,453.62 = 9,279.82/x
  3. Step 3: Cross multiply
    32,971.52x = 49,453.62 × 9,279.82
  4. Step 4: Simplify right side
    32,971.52x = 458,920,691.95
  5. Step 5: Solve for x
    x = 458,920,691.95/32,971.52
  6. Step 6: Final answer
    x = 13,918.70

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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.