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Finding the Fourth Proportional to 49,651, 68,518.38 and 27,295

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Solution

The fourth proportional to 49,651, 68,518.38 and 27,295 is: 37,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651 : 68,518.38 = 27,295 : x
  2. Step 2: Convert to fraction form
    49,651/68,518.38 = 27,295/x
  3. Step 3: Cross multiply
    49,651x = 68,518.38 × 27,295
  4. Step 4: Simplify right side
    49,651x = 1,870,209,182.10
  5. Step 5: Solve for x
    x = 1,870,209,182.10/49,651
  6. Step 6: Final answer
    x = 37,667.10

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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.