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Finding the Fourth Proportional to 37,507.80, 51,764.94 and 27,431.40

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Solution

The fourth proportional to 37,507.80, 51,764.94 and 27,431.40 is: 37,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.80 : 51,764.94 = 27,431.40 : x
  2. Step 2: Convert to fraction form
    37,507.80/51,764.94 = 27,431.40/x
  3. Step 3: Cross multiply
    37,507.80x = 51,764.94 × 27,431.40
  4. Step 4: Simplify right side
    37,507.80x = 1,419,984,775.12
  5. Step 5: Solve for x
    x = 1,419,984,775.12/37,507.80
  6. Step 6: Final answer
    x = 37,858.39

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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.