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Finding the Fourth Proportional to 37,838.40, 56,717.10 and 12,855.30

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Solution

The fourth proportional to 37,838.40, 56,717.10 and 12,855.30 is: 19,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.40 : 56,717.10 = 12,855.30 : x
  2. Step 2: Convert to fraction form
    37,838.40/56,717.10 = 12,855.30/x
  3. Step 3: Cross multiply
    37,838.40x = 56,717.10 × 12,855.30
  4. Step 4: Simplify right side
    37,838.40x = 729,115,335.63
  5. Step 5: Solve for x
    x = 729,115,335.63/37,838.40
  6. Step 6: Final answer
    x = 19,269.19

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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.