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Finding the Fourth Proportional to 31,033.96, 42,841.38 and 19,862.44

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Solution

The fourth proportional to 31,033.96, 42,841.38 and 19,862.44 is: 27,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.96 : 42,841.38 = 19,862.44 : x
  2. Step 2: Convert to fraction form
    31,033.96/42,841.38 = 19,862.44/x
  3. Step 3: Cross multiply
    31,033.96x = 42,841.38 × 19,862.44
  4. Step 4: Simplify right side
    31,033.96x = 850,934,339.77
  5. Step 5: Solve for x
    x = 850,934,339.77/31,033.96
  6. Step 6: Final answer
    x = 27,419.46

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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.