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Finding the Fourth Proportional to 110,552.80, 165,796.80 and 51,374.20

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Solution

The fourth proportional to 110,552.80, 165,796.80 and 51,374.20 is: 77,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,552.80 : 165,796.80 = 51,374.20 : x
  2. Step 2: Convert to fraction form
    110,552.80/165,796.80 = 51,374.20/x
  3. Step 3: Cross multiply
    110,552.80x = 165,796.80 × 51,374.20
  4. Step 4: Simplify right side
    110,552.80x = 8,517,677,962.56
  5. Step 5: Solve for x
    x = 8,517,677,962.56/110,552.80
  6. Step 6: Final answer
    x = 77,046.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.