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Finding the Fourth Proportional to 33,228.40, 49,841.52 and 13,501.12

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Solution

The fourth proportional to 33,228.40, 49,841.52 and 13,501.12 is: 20,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.40 : 49,841.52 = 13,501.12 : x
  2. Step 2: Convert to fraction form
    33,228.40/49,841.52 = 13,501.12/x
  3. Step 3: Cross multiply
    33,228.40x = 49,841.52 × 13,501.12
  4. Step 4: Simplify right side
    33,228.40x = 672,916,342.50
  5. Step 5: Solve for x
    x = 672,916,342.50/33,228.40
  6. Step 6: Final answer
    x = 20,251.24

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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.