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Finding the Fourth Proportional to 80,424.16, 120,616.80 and 33,712

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Solution

The fourth proportional to 80,424.16, 120,616.80 and 33,712 is: 50,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424.16 : 120,616.80 = 33,712 : x
  2. Step 2: Convert to fraction form
    80,424.16/120,616.80 = 33,712/x
  3. Step 3: Cross multiply
    80,424.16x = 120,616.80 × 33,712
  4. Step 4: Simplify right side
    80,424.16x = 4,066,233,561.60
  5. Step 5: Solve for x
    x = 4,066,233,561.60/80,424.16
  6. Step 6: Final answer
    x = 50,559.85

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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.