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Finding the Fourth Proportional to 49,356, 68,111.55 and 27,000

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Solution

The fourth proportional to 49,356, 68,111.55 and 27,000 is: 37,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 68,111.55 = 27,000 : x
  2. Step 2: Convert to fraction form
    49,356/68,111.55 = 27,000/x
  3. Step 3: Cross multiply
    49,356x = 68,111.55 × 27,000
  4. Step 4: Simplify right side
    49,356x = 1,839,011,850
  5. Step 5: Solve for x
    x = 1,839,011,850/49,356
  6. Step 6: Final answer
    x = 37,260.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.