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Finding the Fourth Proportional to 37,162.86, 55,745.01 and 9,082.98

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Solution

The fourth proportional to 37,162.86, 55,745.01 and 9,082.98 is: 13,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162.86 : 55,745.01 = 9,082.98 : x
  2. Step 2: Convert to fraction form
    37,162.86/55,745.01 = 9,082.98/x
  3. Step 3: Cross multiply
    37,162.86x = 55,745.01 × 9,082.98
  4. Step 4: Simplify right side
    37,162.86x = 506,330,810.93
  5. Step 5: Solve for x
    x = 506,330,810.93/37,162.86
  6. Step 6: Final answer
    x = 13,624.65

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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.