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Finding the Fourth Proportional to 40,191.40, 55,462.02 and 22,285

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Solution

The fourth proportional to 40,191.40, 55,462.02 and 22,285 is: 30,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,191.40 : 55,462.02 = 22,285 : x
  2. Step 2: Convert to fraction form
    40,191.40/55,462.02 = 22,285/x
  3. Step 3: Cross multiply
    40,191.40x = 55,462.02 × 22,285
  4. Step 4: Simplify right side
    40,191.40x = 1,235,971,115.70
  5. Step 5: Solve for x
    x = 1,235,971,115.70/40,191.40
  6. Step 6: Final answer
    x = 30,752.13

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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.