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Finding the Fourth Proportional to 49,438, 68,224.44 and 27,082

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Solution

The fourth proportional to 49,438, 68,224.44 and 27,082 is: 37,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,438 : 68,224.44 = 27,082 : x
  2. Step 2: Convert to fraction form
    49,438/68,224.44 = 27,082/x
  3. Step 3: Cross multiply
    49,438x = 68,224.44 × 27,082
  4. Step 4: Simplify right side
    49,438x = 1,847,654,284.08
  5. Step 5: Solve for x
    x = 1,847,654,284.08/49,438
  6. Step 6: Final answer
    x = 37,373.16

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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.