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Finding the Fourth Proportional to 49,297.50, 68,031.10 and 26,941.50

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Solution

The fourth proportional to 49,297.50, 68,031.10 and 26,941.50 is: 37,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297.50 : 68,031.10 = 26,941.50 : x
  2. Step 2: Convert to fraction form
    49,297.50/68,031.10 = 26,941.50/x
  3. Step 3: Cross multiply
    49,297.50x = 68,031.10 × 26,941.50
  4. Step 4: Simplify right side
    49,297.50x = 1,832,859,880.65
  5. Step 5: Solve for x
    x = 1,832,859,880.65/49,297.50
  6. Step 6: Final answer
    x = 37,179.57

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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.