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Finding the Fourth Proportional to 37,019, 51,086.96 and 20,252.36

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Solution

The fourth proportional to 37,019, 51,086.96 and 20,252.36 is: 27,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,019 : 51,086.96 = 20,252.36 : x
  2. Step 2: Convert to fraction form
    37,019/51,086.96 = 20,252.36/x
  3. Step 3: Cross multiply
    37,019x = 51,086.96 × 20,252.36
  4. Step 4: Simplify right side
    37,019x = 1,034,631,505.23
  5. Step 5: Solve for x
    x = 1,034,631,505.23/37,019
  6. Step 6: Final answer
    x = 27,948.66

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1.5x scale

Why These Related Problems?

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