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Finding the Fourth Proportional to 37,493.64, 56,229.12 and 12,527.28

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Solution

The fourth proportional to 37,493.64, 56,229.12 and 12,527.28 is: 18,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,493.64 : 56,229.12 = 12,527.28 : x
  2. Step 2: Convert to fraction form
    37,493.64/56,229.12 = 12,527.28/x
  3. Step 3: Cross multiply
    37,493.64x = 56,229.12 × 12,527.28
  4. Step 4: Simplify right side
    37,493.64x = 704,397,930.39
  5. Step 5: Solve for x
    x = 704,397,930.39/37,493.64
  6. Step 6: Final answer
    x = 18,787.13

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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.