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Finding the Fourth Proportional to 36,737.28, 50,678.64 and 21,620.16

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Solution

The fourth proportional to 36,737.28, 50,678.64 and 21,620.16 is: 29,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,737.28 : 50,678.64 = 21,620.16 : x
  2. Step 2: Convert to fraction form
    36,737.28/50,678.64 = 21,620.16/x
  3. Step 3: Cross multiply
    36,737.28x = 50,678.64 × 21,620.16
  4. Step 4: Simplify right side
    36,737.28x = 1,095,680,305.38
  5. Step 5: Solve for x
    x = 1,095,680,305.38/36,737.28
  6. Step 6: Final answer
    x = 29,824.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.