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Finding the Fourth Proportional to 49,433.87, 68,206.95 and 27,924.05

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Solution

The fourth proportional to 49,433.87, 68,206.95 and 27,924.05 is: 38,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,433.87 : 68,206.95 = 27,924.05 : x
  2. Step 2: Convert to fraction form
    49,433.87/68,206.95 = 27,924.05/x
  3. Step 3: Cross multiply
    49,433.87x = 68,206.95 × 27,924.05
  4. Step 4: Simplify right side
    49,433.87x = 1,904,613,941.11
  5. Step 5: Solve for x
    x = 1,904,613,941.11/49,433.87
  6. Step 6: Final answer
    x = 38,528.53

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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.