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Finding the Fourth Proportional to 77,050.50, 106,329.69 and 41,722.50

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Solution

The fourth proportional to 77,050.50, 106,329.69 and 41,722.50 is: 57,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,050.50 : 106,329.69 = 41,722.50 : x
  2. Step 2: Convert to fraction form
    77,050.50/106,329.69 = 41,722.50/x
  3. Step 3: Cross multiply
    77,050.50x = 106,329.69 × 41,722.50
  4. Step 4: Simplify right side
    77,050.50x = 4,436,340,491.03
  5. Step 5: Solve for x
    x = 4,436,340,491.03/77,050.50
  6. Step 6: Final answer
    x = 57,577.05

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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.