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Finding the Fourth Proportional to 40,942.59, 61,428.41 and 23,427.15

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Solution

The fourth proportional to 40,942.59, 61,428.41 and 23,427.15 is: 35,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,942.59 : 61,428.41 = 23,427.15 : x
  2. Step 2: Convert to fraction form
    40,942.59/61,428.41 = 23,427.15/x
  3. Step 3: Cross multiply
    40,942.59x = 61,428.41 × 23,427.15
  4. Step 4: Simplify right side
    40,942.59x = 1,439,092,458.20
  5. Step 5: Solve for x
    x = 1,439,092,458.20/40,942.59
  6. Step 6: Final answer
    x = 35,149.03

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Why These Related Problems?

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