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Finding the Fourth Proportional to 31,425.84, 43,367.58 and 17,278.38

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Solution

The fourth proportional to 31,425.84, 43,367.58 and 17,278.38 is: 23,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.84 : 43,367.58 = 17,278.38 : x
  2. Step 2: Convert to fraction form
    31,425.84/43,367.58 = 17,278.38/x
  3. Step 3: Cross multiply
    31,425.84x = 43,367.58 × 17,278.38
  4. Step 4: Simplify right side
    31,425.84x = 749,321,526.92
  5. Step 5: Solve for x
    x = 749,321,526.92/31,425.84
  6. Step 6: Final answer
    x = 23,844.12

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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.