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Finding the Fourth Proportional to 37,714, 52,046.96 and 20,947

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Solution

The fourth proportional to 37,714, 52,046.96 and 20,947 is: 28,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714 : 52,046.96 = 20,947 : x
  2. Step 2: Convert to fraction form
    37,714/52,046.96 = 20,947/x
  3. Step 3: Cross multiply
    37,714x = 52,046.96 × 20,947
  4. Step 4: Simplify right side
    37,714x = 1,090,227,671.12
  5. Step 5: Solve for x
    x = 1,090,227,671.12/37,714
  6. Step 6: Final answer
    x = 28,907.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.