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Finding the Fourth Proportional to 37,863.12, 56,809.20 and 14,491.20

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Solution

The fourth proportional to 37,863.12, 56,809.20 and 14,491.20 is: 21,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863.12 : 56,809.20 = 14,491.20 : x
  2. Step 2: Convert to fraction form
    37,863.12/56,809.20 = 14,491.20/x
  3. Step 3: Cross multiply
    37,863.12x = 56,809.20 × 14,491.20
  4. Step 4: Simplify right side
    37,863.12x = 823,233,479.04
  5. Step 5: Solve for x
    x = 823,233,479.04/37,863.12
  6. Step 6: Final answer
    x = 21,742.36

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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.