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Finding the Fourth Proportional to 65,829.94, 90,845.97 and 35,615.91

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Solution

The fourth proportional to 65,829.94, 90,845.97 and 35,615.91 is: 49,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829.94 : 90,845.97 = 35,615.91 : x
  2. Step 2: Convert to fraction form
    65,829.94/90,845.97 = 35,615.91/x
  3. Step 3: Cross multiply
    65,829.94x = 90,845.97 × 35,615.91
  4. Step 4: Simplify right side
    65,829.94x = 3,235,561,891.38
  5. Step 5: Solve for x
    x = 3,235,561,891.38/65,829.94
  6. Step 6: Final answer
    x = 49,150.31

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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.