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Finding the Fourth Proportional to 37,942.61, 56,920.09 and 14,252

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Solution

The fourth proportional to 37,942.61, 56,920.09 and 14,252 is: 21,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,942.61 : 56,920.09 = 14,252 : x
  2. Step 2: Convert to fraction form
    37,942.61/56,920.09 = 14,252/x
  3. Step 3: Cross multiply
    37,942.61x = 56,920.09 × 14,252
  4. Step 4: Simplify right side
    37,942.61x = 811,225,122.68
  5. Step 5: Solve for x
    x = 811,225,122.68/37,942.61
  6. Step 6: Final answer
    x = 21,380.32

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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.