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Finding the Fourth Proportional to 37,162.69, 55,743.81 and 9,082.89

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Solution

The fourth proportional to 37,162.69, 55,743.81 and 9,082.89 is: 13,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162.69 : 55,743.81 = 9,082.89 : x
  2. Step 2: Convert to fraction form
    37,162.69/55,743.81 = 9,082.89/x
  3. Step 3: Cross multiply
    37,162.69x = 55,743.81 × 9,082.89
  4. Step 4: Simplify right side
    37,162.69x = 506,314,894.41
  5. Step 5: Solve for x
    x = 506,314,894.41/37,162.69
  6. Step 6: Final answer
    x = 13,624.28

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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.