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Finding the Fourth Proportional to 37,697.72, 52,016.61 and 21,783.65

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Solution

The fourth proportional to 37,697.72, 52,016.61 and 21,783.65 is: 30,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697.72 : 52,016.61 = 21,783.65 : x
  2. Step 2: Convert to fraction form
    37,697.72/52,016.61 = 21,783.65/x
  3. Step 3: Cross multiply
    37,697.72x = 52,016.61 × 21,783.65
  4. Step 4: Simplify right side
    37,697.72x = 1,133,111,448.03
  5. Step 5: Solve for x
    x = 1,133,111,448.03/37,697.72
  6. Step 6: Final answer
    x = 30,057.83

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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.