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Finding the Fourth Proportional to 33,049.80, 49,574.80 and 23,233

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Solution

The fourth proportional to 33,049.80, 49,574.80 and 23,233 is: 34,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.80 : 49,574.80 = 23,233 : x
  2. Step 2: Convert to fraction form
    33,049.80/49,574.80 = 23,233/x
  3. Step 3: Cross multiply
    33,049.80x = 49,574.80 × 23,233
  4. Step 4: Simplify right side
    33,049.80x = 1,151,771,328.40
  5. Step 5: Solve for x
    x = 1,151,771,328.40/33,049.80
  6. Step 6: Final answer
    x = 34,849.57

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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.