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Finding the Fourth Proportional to 77,050.25, 106,329.35 and 41,722.25

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Solution

The fourth proportional to 77,050.25, 106,329.35 and 41,722.25 is: 57,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,050.25 : 106,329.35 = 41,722.25 : x
  2. Step 2: Convert to fraction form
    77,050.25/106,329.35 = 41,722.25/x
  3. Step 3: Cross multiply
    77,050.25x = 106,329.35 × 41,722.25
  4. Step 4: Simplify right side
    77,050.25x = 4,436,299,723.04
  5. Step 5: Solve for x
    x = 4,436,299,723.04/77,050.25
  6. Step 6: Final answer
    x = 57,576.71

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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.