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Finding the Fourth Proportional to 77,655.38, 106,899.97 and 57,474.23

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Solution

The fourth proportional to 77,655.38, 106,899.97 and 57,474.23 is: 79,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,655.38 : 106,899.97 = 57,474.23 : x
  2. Step 2: Convert to fraction form
    77,655.38/106,899.97 = 57,474.23/x
  3. Step 3: Cross multiply
    77,655.38x = 106,899.97 × 57,474.23
  4. Step 4: Simplify right side
    77,655.38x = 6,143,993,462.77
  5. Step 5: Solve for x
    x = 6,143,993,462.77/77,655.38
  6. Step 6: Final answer
    x = 79,118.71

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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.