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Finding the Fourth Proportional to 37,282, 51,449.16 and 20,514.64

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Solution

The fourth proportional to 37,282, 51,449.16 and 20,514.64 is: 28,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282 : 51,449.16 = 20,514.64 : x
  2. Step 2: Convert to fraction form
    37,282/51,449.16 = 20,514.64/x
  3. Step 3: Cross multiply
    37,282x = 51,449.16 × 20,514.64
  4. Step 4: Simplify right side
    37,282x = 1,055,460,995.70
  5. Step 5: Solve for x
    x = 1,055,460,995.70/37,282
  6. Step 6: Final answer
    x = 28,310.20

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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.