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Finding the Fourth Proportional to 100,021.38, 150,032.28 and 40,857.09

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Solution

The fourth proportional to 100,021.38, 150,032.28 and 40,857.09 is: 61,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.38 : 150,032.28 = 40,857.09 : x
  2. Step 2: Convert to fraction form
    100,021.38/150,032.28 = 40,857.09/x
  3. Step 3: Cross multiply
    100,021.38x = 150,032.28 × 40,857.09
  4. Step 4: Simplify right side
    100,021.38x = 6,129,882,366.87
  5. Step 5: Solve for x
    x = 6,129,882,366.87/100,021.38
  6. Step 6: Final answer
    x = 61,285.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.