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Finding the Fourth Proportional to 37,544.50, 51,805.74 and 22,426.66

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Solution

The fourth proportional to 37,544.50, 51,805.74 and 22,426.66 is: 30,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,544.50 : 51,805.74 = 22,426.66 : x
  2. Step 2: Convert to fraction form
    37,544.50/51,805.74 = 22,426.66/x
  3. Step 3: Cross multiply
    37,544.50x = 51,805.74 × 22,426.66
  4. Step 4: Simplify right side
    37,544.50x = 1,161,829,717.03
  5. Step 5: Solve for x
    x = 1,161,829,717.03/37,544.50
  6. Step 6: Final answer
    x = 30,945.40

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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.