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Finding the Fourth Proportional to 37,842.92, 52,215.24 and 21,926.40

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Solution

The fourth proportional to 37,842.92, 52,215.24 and 21,926.40 is: 30,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.92 : 52,215.24 = 21,926.40 : x
  2. Step 2: Convert to fraction form
    37,842.92/52,215.24 = 21,926.40/x
  3. Step 3: Cross multiply
    37,842.92x = 52,215.24 × 21,926.40
  4. Step 4: Simplify right side
    37,842.92x = 1,144,892,238.34
  5. Step 5: Solve for x
    x = 1,144,892,238.34/37,842.92
  6. Step 6: Final answer
    x = 30,253.80

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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.