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Finding the Fourth Proportional to 49,875, 68,827.50 and 27,519

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Solution

The fourth proportional to 49,875, 68,827.50 and 27,519 is: 37,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875 : 68,827.50 = 27,519 : x
  2. Step 2: Convert to fraction form
    49,875/68,827.50 = 27,519/x
  3. Step 3: Cross multiply
    49,875x = 68,827.50 × 27,519
  4. Step 4: Simplify right side
    49,875x = 1,894,063,972.50
  5. Step 5: Solve for x
    x = 1,894,063,972.50/49,875
  6. Step 6: Final answer
    x = 37,976.22

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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.