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Finding the Fourth Proportional to 80,341.88, 110,821.77 and 51,698.93

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Solution

The fourth proportional to 80,341.88, 110,821.77 and 51,698.93 is: 71,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,341.88 : 110,821.77 = 51,698.93 : x
  2. Step 2: Convert to fraction form
    80,341.88/110,821.77 = 51,698.93/x
  3. Step 3: Cross multiply
    80,341.88x = 110,821.77 × 51,698.93
  4. Step 4: Simplify right side
    80,341.88x = 5,729,366,375.60
  5. Step 5: Solve for x
    x = 5,729,366,375.60/80,341.88
  6. Step 6: Final answer
    x = 71,312.33

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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.