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Finding the Fourth Proportional to 77,002.66, 115,296.32 and 50,282.46

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Solution

The fourth proportional to 77,002.66, 115,296.32 and 50,282.46 is: 75,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,002.66 : 115,296.32 = 50,282.46 : x
  2. Step 2: Convert to fraction form
    77,002.66/115,296.32 = 50,282.46/x
  3. Step 3: Cross multiply
    77,002.66x = 115,296.32 × 50,282.46
  4. Step 4: Simplify right side
    77,002.66x = 5,797,382,598.55
  5. Step 5: Solve for x
    x = 5,797,382,598.55/77,002.66
  6. Step 6: Final answer
    x = 75,288.08

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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.