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Finding the Fourth Proportional to 37,812, 52,180.56 and 21,044.64

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Solution

The fourth proportional to 37,812, 52,180.56 and 21,044.64 is: 29,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812 : 52,180.56 = 21,044.64 : x
  2. Step 2: Convert to fraction form
    37,812/52,180.56 = 21,044.64/x
  3. Step 3: Cross multiply
    37,812x = 52,180.56 × 21,044.64
  4. Step 4: Simplify right side
    37,812x = 1,098,121,100.20
  5. Step 5: Solve for x
    x = 1,098,121,100.20/37,812
  6. Step 6: Final answer
    x = 29,041.60

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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.