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Finding the Fourth Proportional to 31,175.78, 42,966.96 and 23,603.97

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Solution

The fourth proportional to 31,175.78, 42,966.96 and 23,603.97 is: 32,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.78 : 42,966.96 = 23,603.97 : x
  2. Step 2: Convert to fraction form
    31,175.78/42,966.96 = 23,603.97/x
  3. Step 3: Cross multiply
    31,175.78x = 42,966.96 × 23,603.97
  4. Step 4: Simplify right side
    31,175.78x = 1,014,190,907.44
  5. Step 5: Solve for x
    x = 1,014,190,907.44/31,175.78
  6. Step 6: Final answer
    x = 32,531.38

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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.