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Finding the Fourth Proportional to 32,082.75, 48,054.03 and 16,260.60

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Solution

The fourth proportional to 32,082.75, 48,054.03 and 16,260.60 is: 24,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.75 : 48,054.03 = 16,260.60 : x
  2. Step 2: Convert to fraction form
    32,082.75/48,054.03 = 16,260.60/x
  3. Step 3: Cross multiply
    32,082.75x = 48,054.03 × 16,260.60
  4. Step 4: Simplify right side
    32,082.75x = 781,387,395.49
  5. Step 5: Solve for x
    x = 781,387,395.49/32,082.75
  6. Step 6: Final answer
    x = 24,355.38

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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.