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Finding the Fourth Proportional to 54,792.48, 82,192.36 and 19,249.48

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Solution

The fourth proportional to 54,792.48, 82,192.36 and 19,249.48 is: 28,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792.48 : 82,192.36 = 19,249.48 : x
  2. Step 2: Convert to fraction form
    54,792.48/82,192.36 = 19,249.48/x
  3. Step 3: Cross multiply
    54,792.48x = 82,192.36 × 19,249.48
  4. Step 4: Simplify right side
    54,792.48x = 1,582,160,189.97
  5. Step 5: Solve for x
    x = 1,582,160,189.97/54,792.48
  6. Step 6: Final answer
    x = 28,875.50

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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.