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Finding the Fourth Proportional to 33,213.65, 49,820.40 and 13,487.58

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Solution

The fourth proportional to 33,213.65, 49,820.40 and 13,487.58 is: 20,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.65 : 49,820.40 = 13,487.58 : x
  2. Step 2: Convert to fraction form
    33,213.65/49,820.40 = 13,487.58/x
  3. Step 3: Cross multiply
    33,213.65x = 49,820.40 × 13,487.58
  4. Step 4: Simplify right side
    33,213.65x = 671,956,630.63
  5. Step 5: Solve for x
    x = 671,956,630.63/33,213.65
  6. Step 6: Final answer
    x = 20,231.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.