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Finding the Fourth Proportional to 40,098.76, 55,335.62 and 22,193.38

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Solution

The fourth proportional to 40,098.76, 55,335.62 and 22,193.38 is: 30,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.76 : 55,335.62 = 22,193.38 : x
  2. Step 2: Convert to fraction form
    40,098.76/55,335.62 = 22,193.38/x
  3. Step 3: Cross multiply
    40,098.76x = 55,335.62 × 22,193.38
  4. Step 4: Simplify right side
    40,098.76x = 1,228,084,400.40
  5. Step 5: Solve for x
    x = 1,228,084,400.40/40,098.76
  6. Step 6: Final answer
    x = 30,626.50

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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.