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Finding the Fourth Proportional to 93,486, 140,229 and 27,822

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Solution

The fourth proportional to 93,486, 140,229 and 27,822 is: 41,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,486 : 140,229 = 27,822 : x
  2. Step 2: Convert to fraction form
    93,486/140,229 = 27,822/x
  3. Step 3: Cross multiply
    93,486x = 140,229 × 27,822
  4. Step 4: Simplify right side
    93,486x = 3,901,451,238
  5. Step 5: Solve for x
    x = 3,901,451,238/93,486
  6. Step 6: Final answer
    x = 41,733

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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.