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Finding the Fourth Proportional to 37,015.31, 51,082.35 and 20,248.31

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Solution

The fourth proportional to 37,015.31, 51,082.35 and 20,248.31 is: 27,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,015.31 : 51,082.35 = 20,248.31 : x
  2. Step 2: Convert to fraction form
    37,015.31/51,082.35 = 20,248.31/x
  3. Step 3: Cross multiply
    37,015.31x = 51,082.35 × 20,248.31
  4. Step 4: Simplify right side
    37,015.31x = 1,034,331,310.10
  5. Step 5: Solve for x
    x = 1,034,331,310.10/37,015.31
  6. Step 6: Final answer
    x = 27,943.34

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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.