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Finding the Fourth Proportional to 41,106.95, 61,660.22 and 9,942.20

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Solution

The fourth proportional to 41,106.95, 61,660.22 and 9,942.20 is: 14,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106.95 : 61,660.22 = 9,942.20 : x
  2. Step 2: Convert to fraction form
    41,106.95/61,660.22 = 9,942.20/x
  3. Step 3: Cross multiply
    41,106.95x = 61,660.22 × 9,942.20
  4. Step 4: Simplify right side
    41,106.95x = 613,037,881.27
  5. Step 5: Solve for x
    x = 613,037,881.27/41,106.95
  6. Step 6: Final answer
    x = 14,913.24

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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.