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Finding the Fourth Proportional to 55,006.12, 75,942.84 and 37,808.14

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Solution

The fourth proportional to 55,006.12, 75,942.84 and 37,808.14 is: 52,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,006.12 : 75,942.84 = 37,808.14 : x
  2. Step 2: Convert to fraction form
    55,006.12/75,942.84 = 37,808.14/x
  3. Step 3: Cross multiply
    55,006.12x = 75,942.84 × 37,808.14
  4. Step 4: Simplify right side
    55,006.12x = 2,871,257,526.72
  5. Step 5: Solve for x
    x = 2,871,257,526.72/55,006.12
  6. Step 6: Final answer
    x = 52,198.87

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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.