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Finding the Fourth Proportional to 49,388, 68,155.92 and 27,032.48

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Solution

The fourth proportional to 49,388, 68,155.92 and 27,032.48 is: 37,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 68,155.92 = 27,032.48 : x
  2. Step 2: Convert to fraction form
    49,388/68,155.92 = 27,032.48/x
  3. Step 3: Cross multiply
    49,388x = 68,155.92 × 27,032.48
  4. Step 4: Simplify right side
    49,388x = 1,842,423,544.28
  5. Step 5: Solve for x
    x = 1,842,423,544.28/49,388
  6. Step 6: Final answer
    x = 37,305.09

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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.