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Finding the Fourth Proportional to 37,102.95, 55,589.22 and 30,902.67

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Solution

The fourth proportional to 37,102.95, 55,589.22 and 30,902.67 is: 46,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.95 : 55,589.22 = 30,902.67 : x
  2. Step 2: Convert to fraction form
    37,102.95/55,589.22 = 30,902.67/x
  3. Step 3: Cross multiply
    37,102.95x = 55,589.22 × 30,902.67
  4. Step 4: Simplify right side
    37,102.95x = 1,717,855,321.22
  5. Step 5: Solve for x
    x = 1,717,855,321.22/37,102.95
  6. Step 6: Final answer
    x = 46,299.70

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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.