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Finding the Fourth Proportional to 31,424.22, 43,363.98 and 17,277.03

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Solution

The fourth proportional to 31,424.22, 43,363.98 and 17,277.03 is: 23,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.22 : 43,363.98 = 17,277.03 : x
  2. Step 2: Convert to fraction form
    31,424.22/43,363.98 = 17,277.03/x
  3. Step 3: Cross multiply
    31,424.22x = 43,363.98 × 17,277.03
  4. Step 4: Simplify right side
    31,424.22x = 749,200,783.38
  5. Step 5: Solve for x
    x = 749,200,783.38/31,424.22
  6. Step 6: Final answer
    x = 23,841.51

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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.