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Finding the Fourth Proportional to 49,388, 68,155.44 and 27,032

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Solution

The fourth proportional to 49,388, 68,155.44 and 27,032 is: 37,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 68,155.44 = 27,032 : x
  2. Step 2: Convert to fraction form
    49,388/68,155.44 = 27,032/x
  3. Step 3: Cross multiply
    49,388x = 68,155.44 × 27,032
  4. Step 4: Simplify right side
    49,388x = 1,842,377,854.08
  5. Step 5: Solve for x
    x = 1,842,377,854.08/49,388
  6. Step 6: Final answer
    x = 37,304.16

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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.