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Finding the Fourth Proportional to 37,522, 51,781.33 and 22,618.96

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Solution

The fourth proportional to 37,522, 51,781.33 and 22,618.96 is: 31,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,522 : 51,781.33 = 22,618.96 : x
  2. Step 2: Convert to fraction form
    37,522/51,781.33 = 22,618.96/x
  3. Step 3: Cross multiply
    37,522x = 51,781.33 × 22,618.96
  4. Step 4: Simplify right side
    37,522x = 1,171,239,832.02
  5. Step 5: Solve for x
    x = 1,171,239,832.02/37,522
  6. Step 6: Final answer
    x = 31,214.75

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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.