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Finding the Fourth Proportional to 77,088.85, 106,400.39 and 50,184.50

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Solution

The fourth proportional to 77,088.85, 106,400.39 and 50,184.50 is: 69,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,088.85 : 106,400.39 = 50,184.50 : x
  2. Step 2: Convert to fraction form
    77,088.85/106,400.39 = 50,184.50/x
  3. Step 3: Cross multiply
    77,088.85x = 106,400.39 × 50,184.50
  4. Step 4: Simplify right side
    77,088.85x = 5,339,649,589.03
  5. Step 5: Solve for x
    x = 5,339,649,589.03/77,088.85
  6. Step 6: Final answer
    x = 69,266.17

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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.