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Finding the Fourth Proportional to 31,418.52, 43,357.88 and 17,078.42

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Solution

The fourth proportional to 31,418.52, 43,357.88 and 17,078.42 is: 23,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.52 : 43,357.88 = 17,078.42 : x
  2. Step 2: Convert to fraction form
    31,418.52/43,357.88 = 17,078.42/x
  3. Step 3: Cross multiply
    31,418.52x = 43,357.88 × 17,078.42
  4. Step 4: Simplify right side
    31,418.52x = 740,484,084.95
  5. Step 5: Solve for x
    x = 740,484,084.95/31,418.52
  6. Step 6: Final answer
    x = 23,568.39

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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.