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Finding the Fourth Proportional to 33,202.80, 49,806.63 and 13,476.06

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Solution

The fourth proportional to 33,202.80, 49,806.63 and 13,476.06 is: 20,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.80 : 49,806.63 = 13,476.06 : x
  2. Step 2: Convert to fraction form
    33,202.80/49,806.63 = 13,476.06/x
  3. Step 3: Cross multiply
    33,202.80x = 49,806.63 × 13,476.06
  4. Step 4: Simplify right side
    33,202.80x = 671,197,134.28
  5. Step 5: Solve for x
    x = 671,197,134.28/33,202.80
  6. Step 6: Final answer
    x = 20,215.08

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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.