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Finding the Fourth Proportional to 40,209.96, 55,488.78 and 22,305

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Solution

The fourth proportional to 40,209.96, 55,488.78 and 22,305 is: 30,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,209.96 : 55,488.78 = 22,305 : x
  2. Step 2: Convert to fraction form
    40,209.96/55,488.78 = 22,305/x
  3. Step 3: Cross multiply
    40,209.96x = 55,488.78 × 22,305
  4. Step 4: Simplify right side
    40,209.96x = 1,237,677,237.90
  5. Step 5: Solve for x
    x = 1,237,677,237.90/40,209.96
  6. Step 6: Final answer
    x = 30,780.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.