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Finding the Fourth Proportional to 51,617.88, 71,221.84 and 33,739.16

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Solution

The fourth proportional to 51,617.88, 71,221.84 and 33,739.16 is: 46,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,617.88 : 71,221.84 = 33,739.16 : x
  2. Step 2: Convert to fraction form
    51,617.88/71,221.84 = 33,739.16/x
  3. Step 3: Cross multiply
    51,617.88x = 71,221.84 × 33,739.16
  4. Step 4: Simplify right side
    51,617.88x = 2,402,964,614.80
  5. Step 5: Solve for x
    x = 2,402,964,614.80/51,617.88
  6. Step 6: Final answer
    x = 46,552.95

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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.