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Finding the Fourth Proportional to 33,253.46, 49,837.10 and 13,509.08

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Solution

The fourth proportional to 33,253.46, 49,837.10 and 13,509.08 is: 20,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253.46 : 49,837.10 = 13,509.08 : x
  2. Step 2: Convert to fraction form
    33,253.46/49,837.10 = 13,509.08/x
  3. Step 3: Cross multiply
    33,253.46x = 49,837.10 × 13,509.08
  4. Step 4: Simplify right side
    33,253.46x = 673,253,370.87
  5. Step 5: Solve for x
    x = 673,253,370.87/33,253.46
  6. Step 6: Final answer
    x = 20,246.11

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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.