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Finding the Fourth Proportional to 77,462.82, 116,198.55 and 22,054.50

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Solution

The fourth proportional to 77,462.82, 116,198.55 and 22,054.50 is: 33,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,462.82 : 116,198.55 = 22,054.50 : x
  2. Step 2: Convert to fraction form
    77,462.82/116,198.55 = 22,054.50/x
  3. Step 3: Cross multiply
    77,462.82x = 116,198.55 × 22,054.50
  4. Step 4: Simplify right side
    77,462.82x = 2,562,700,920.98
  5. Step 5: Solve for x
    x = 2,562,700,920.98/77,462.82
  6. Step 6: Final answer
    x = 33,082.98

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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.