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Finding the Fourth Proportional to 38,792.84, 58,189.26 and 18,005

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Solution

The fourth proportional to 38,792.84, 58,189.26 and 18,005 is: 27,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,792.84 : 58,189.26 = 18,005 : x
  2. Step 2: Convert to fraction form
    38,792.84/58,189.26 = 18,005/x
  3. Step 3: Cross multiply
    38,792.84x = 58,189.26 × 18,005
  4. Step 4: Simplify right side
    38,792.84x = 1,047,697,626.30
  5. Step 5: Solve for x
    x = 1,047,697,626.30/38,792.84
  6. Step 6: Final answer
    x = 27,007.50

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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.