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Finding the Fourth Proportional to 49,628, 68,486.64 and 27,272

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Solution

The fourth proportional to 49,628, 68,486.64 and 27,272 is: 37,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,628 : 68,486.64 = 27,272 : x
  2. Step 2: Convert to fraction form
    49,628/68,486.64 = 27,272/x
  3. Step 3: Cross multiply
    49,628x = 68,486.64 × 27,272
  4. Step 4: Simplify right side
    49,628x = 1,867,767,646.08
  5. Step 5: Solve for x
    x = 1,867,767,646.08/49,628
  6. Step 6: Final answer
    x = 37,635.36

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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.