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Finding the Fourth Proportional to 33,661.48, 50,492.42 and 10,287.91

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Solution

The fourth proportional to 33,661.48, 50,492.42 and 10,287.91 is: 15,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.48 : 50,492.42 = 10,287.91 : x
  2. Step 2: Convert to fraction form
    33,661.48/50,492.42 = 10,287.91/x
  3. Step 3: Cross multiply
    33,661.48x = 50,492.42 × 10,287.91
  4. Step 4: Simplify right side
    33,661.48x = 519,461,472.64
  5. Step 5: Solve for x
    x = 519,461,472.64/33,661.48
  6. Step 6: Final answer
    x = 15,431.93

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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.