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Finding the Fourth Proportional to 77,082.98, 115,539.56 and 50,417.99

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Solution

The fourth proportional to 77,082.98, 115,539.56 and 50,417.99 is: 75,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.98 : 115,539.56 = 50,417.99 : x
  2. Step 2: Convert to fraction form
    77,082.98/115,539.56 = 50,417.99/x
  3. Step 3: Cross multiply
    77,082.98x = 115,539.56 × 50,417.99
  4. Step 4: Simplify right side
    77,082.98x = 5,825,271,802.99
  5. Step 5: Solve for x
    x = 5,825,271,802.99/77,082.98
  6. Step 6: Final answer
    x = 75,571.44

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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.