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Finding the Fourth Proportional to 31,647.52, 43,672.06 and 17,308.12

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Solution

The fourth proportional to 31,647.52, 43,672.06 and 17,308.12 is: 23,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.52 : 43,672.06 = 17,308.12 : x
  2. Step 2: Convert to fraction form
    31,647.52/43,672.06 = 17,308.12/x
  3. Step 3: Cross multiply
    31,647.52x = 43,672.06 × 17,308.12
  4. Step 4: Simplify right side
    31,647.52x = 755,881,255.13
  5. Step 5: Solve for x
    x = 755,881,255.13/31,647.52
  6. Step 6: Final answer
    x = 23,884.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.