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Finding the Fourth Proportional to 110,553.80, 165,798.30 and 51,375.20

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Solution

The fourth proportional to 110,553.80, 165,798.30 and 51,375.20 is: 77,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,553.80 : 165,798.30 = 51,375.20 : x
  2. Step 2: Convert to fraction form
    110,553.80/165,798.30 = 51,375.20/x
  3. Step 3: Cross multiply
    110,553.80x = 165,798.30 × 51,375.20
  4. Step 4: Simplify right side
    110,553.80x = 8,517,920,822.16
  5. Step 5: Solve for x
    x = 8,517,920,822.16/110,553.80
  6. Step 6: Final answer
    x = 77,047.74

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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.