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Finding the Fourth Proportional to 37,714.25, 56,578.66 and 14,338.87

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Solution

The fourth proportional to 37,714.25, 56,578.66 and 14,338.87 is: 21,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.25 : 56,578.66 = 14,338.87 : x
  2. Step 2: Convert to fraction form
    37,714.25/56,578.66 = 14,338.87/x
  3. Step 3: Cross multiply
    37,714.25x = 56,578.66 × 14,338.87
  4. Step 4: Simplify right side
    37,714.25x = 811,273,767.62
  5. Step 5: Solve for x
    x = 811,273,767.62/37,714.25
  6. Step 6: Final answer
    x = 21,511.07

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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.