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Finding the Fourth Proportional to 71,714.94, 98,963.55 and 39,883.02

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Solution

The fourth proportional to 71,714.94, 98,963.55 and 39,883.02 is: 55,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.94 : 98,963.55 = 39,883.02 : x
  2. Step 2: Convert to fraction form
    71,714.94/98,963.55 = 39,883.02/x
  3. Step 3: Cross multiply
    71,714.94x = 98,963.55 × 39,883.02
  4. Step 4: Simplify right side
    71,714.94x = 3,946,965,243.92
  5. Step 5: Solve for x
    x = 3,946,965,243.92/71,714.94
  6. Step 6: Final answer
    x = 55,036.86

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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.