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Finding the Fourth Proportional to 49,566, 68,402.52 and 27,211.44

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Solution

The fourth proportional to 49,566, 68,402.52 and 27,211.44 is: 37,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,566 : 68,402.52 = 27,211.44 : x
  2. Step 2: Convert to fraction form
    49,566/68,402.52 = 27,211.44/x
  3. Step 3: Cross multiply
    49,566x = 68,402.52 × 27,211.44
  4. Step 4: Simplify right side
    49,566x = 1,861,331,068.83
  5. Step 5: Solve for x
    x = 1,861,331,068.83/49,566
  6. Step 6: Final answer
    x = 37,552.58

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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.