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Finding the Fourth Proportional to 27,875.34, 41,715.91 and 22,819.32

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Solution

The fourth proportional to 27,875.34, 41,715.91 and 22,819.32 is: 34,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.34 : 41,715.91 = 22,819.32 : x
  2. Step 2: Convert to fraction form
    27,875.34/41,715.91 = 22,819.32/x
  3. Step 3: Cross multiply
    27,875.34x = 41,715.91 × 22,819.32
  4. Step 4: Simplify right side
    27,875.34x = 951,928,727.91
  5. Step 5: Solve for x
    x = 951,928,727.91/27,875.34
  6. Step 6: Final answer
    x = 34,149.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.