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Finding the Fourth Proportional to 49,151.80, 73,728.11 and 30,486.16

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Solution

The fourth proportional to 49,151.80, 73,728.11 and 30,486.16 is: 45,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,151.80 : 73,728.11 = 30,486.16 : x
  2. Step 2: Convert to fraction form
    49,151.80/73,728.11 = 30,486.16/x
  3. Step 3: Cross multiply
    49,151.80x = 73,728.11 × 30,486.16
  4. Step 4: Simplify right side
    49,151.80x = 2,247,686,957.96
  5. Step 5: Solve for x
    x = 2,247,686,957.96/49,151.80
  6. Step 6: Final answer
    x = 45,729.49

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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.