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Finding the Fourth Proportional to 33,774.67, 50,661.93 and 31,719.49

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Solution

The fourth proportional to 33,774.67, 50,661.93 and 31,719.49 is: 47,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.67 : 50,661.93 = 31,719.49 : x
  2. Step 2: Convert to fraction form
    33,774.67/50,661.93 = 31,719.49/x
  3. Step 3: Cross multiply
    33,774.67x = 50,661.93 × 31,719.49
  4. Step 4: Simplify right side
    33,774.67x = 1,606,970,582.02
  5. Step 5: Solve for x
    x = 1,606,970,582.02/33,774.67
  6. Step 6: Final answer
    x = 47,579.16

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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.