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Finding the Fourth Proportional to 49,714.94, 68,621.10 and 39,713.06

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Solution

The fourth proportional to 49,714.94, 68,621.10 and 39,713.06 is: 54,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714.94 : 68,621.10 = 39,713.06 : x
  2. Step 2: Convert to fraction form
    49,714.94/68,621.10 = 39,713.06/x
  3. Step 3: Cross multiply
    49,714.94x = 68,621.10 × 39,713.06
  4. Step 4: Simplify right side
    49,714.94x = 2,725,153,861.57
  5. Step 5: Solve for x
    x = 2,725,153,861.57/49,714.94
  6. Step 6: Final answer
    x = 54,815.59

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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.