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Finding the Fourth Proportional to 38,287.84, 52,838.32 and 23,183.24

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Solution

The fourth proportional to 38,287.84, 52,838.32 and 23,183.24 is: 31,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.84 : 52,838.32 = 23,183.24 : x
  2. Step 2: Convert to fraction form
    38,287.84/52,838.32 = 23,183.24/x
  3. Step 3: Cross multiply
    38,287.84x = 52,838.32 × 23,183.24
  4. Step 4: Simplify right side
    38,287.84x = 1,224,963,453.76
  5. Step 5: Solve for x
    x = 1,224,963,453.76/38,287.84
  6. Step 6: Final answer
    x = 31,993.54

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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.