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Finding the Fourth Proportional to 65,957.85, 91,021.68 and 35,743.86

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Solution

The fourth proportional to 65,957.85, 91,021.68 and 35,743.86 is: 49,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,957.85 : 91,021.68 = 35,743.86 : x
  2. Step 2: Convert to fraction form
    65,957.85/91,021.68 = 35,743.86/x
  3. Step 3: Cross multiply
    65,957.85x = 91,021.68 × 35,743.86
  4. Step 4: Simplify right side
    65,957.85x = 3,253,466,186.88
  5. Step 5: Solve for x
    x = 3,253,466,186.88/65,957.85
  6. Step 6: Final answer
    x = 49,326.44

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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.