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Finding the Fourth Proportional to 80,386.60, 120,623.10 and 33,644.20

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Solution

The fourth proportional to 80,386.60, 120,623.10 and 33,644.20 is: 50,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386.60 : 120,623.10 = 33,644.20 : x
  2. Step 2: Convert to fraction form
    80,386.60/120,623.10 = 33,644.20/x
  3. Step 3: Cross multiply
    80,386.60x = 120,623.10 × 33,644.20
  4. Step 4: Simplify right side
    80,386.60x = 4,058,267,701.02
  5. Step 5: Solve for x
    x = 4,058,267,701.02/80,386.60
  6. Step 6: Final answer
    x = 50,484.38

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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.