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Finding the Fourth Proportional to 49,258.02, 67,971.17 and 27,747.17

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Solution

The fourth proportional to 49,258.02, 67,971.17 and 27,747.17 is: 38,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258.02 : 67,971.17 = 27,747.17 : x
  2. Step 2: Convert to fraction form
    49,258.02/67,971.17 = 27,747.17/x
  3. Step 3: Cross multiply
    49,258.02x = 67,971.17 × 27,747.17
  4. Step 4: Simplify right side
    49,258.02x = 1,886,007,130.50
  5. Step 5: Solve for x
    x = 1,886,007,130.50/49,258.02
  6. Step 6: Final answer
    x = 38,288.33

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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.