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Finding the Fourth Proportional to 37,071, 51,158.34 and 22,167

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Solution

The fourth proportional to 37,071, 51,158.34 and 22,167 is: 30,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071 : 51,158.34 = 22,167 : x
  2. Step 2: Convert to fraction form
    37,071/51,158.34 = 22,167/x
  3. Step 3: Cross multiply
    37,071x = 51,158.34 × 22,167
  4. Step 4: Simplify right side
    37,071x = 1,134,026,922.78
  5. Step 5: Solve for x
    x = 1,134,026,922.78/37,071
  6. Step 6: Final answer
    x = 30,590.68

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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.