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Finding the Fourth Proportional to 37,022, 55,538.78 and 12,056.16

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Solution

The fourth proportional to 37,022, 55,538.78 and 12,056.16 is: 18,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,022 : 55,538.78 = 12,056.16 : x
  2. Step 2: Convert to fraction form
    37,022/55,538.78 = 12,056.16/x
  3. Step 3: Cross multiply
    37,022x = 55,538.78 × 12,056.16
  4. Step 4: Simplify right side
    37,022x = 669,584,417.88
  5. Step 5: Solve for x
    x = 669,584,417.88/37,022
  6. Step 6: Final answer
    x = 18,086.12

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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.