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Finding the Fourth Proportional to 40,206.65, 55,485.14 and 22,301.78

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Solution

The fourth proportional to 40,206.65, 55,485.14 and 22,301.78 is: 30,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.65 : 55,485.14 = 22,301.78 : x
  2. Step 2: Convert to fraction form
    40,206.65/55,485.14 = 22,301.78/x
  3. Step 3: Cross multiply
    40,206.65x = 55,485.14 × 22,301.78
  4. Step 4: Simplify right side
    40,206.65x = 1,237,416,996.61
  5. Step 5: Solve for x
    x = 1,237,416,996.61/40,206.65
  6. Step 6: Final answer
    x = 30,776.43

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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.