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Finding the Fourth Proportional to 37,858.38, 52,196.03 and 31,027.25

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Solution

The fourth proportional to 37,858.38, 52,196.03 and 31,027.25 is: 42,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.38 : 52,196.03 = 31,027.25 : x
  2. Step 2: Convert to fraction form
    37,858.38/52,196.03 = 31,027.25/x
  3. Step 3: Cross multiply
    37,858.38x = 52,196.03 × 31,027.25
  4. Step 4: Simplify right side
    37,858.38x = 1,619,499,271.82
  5. Step 5: Solve for x
    x = 1,619,499,271.82/37,858.38
  6. Step 6: Final answer
    x = 42,777.83

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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.