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Finding the Fourth Proportional to 33,204.70, 49,820.40 and 13,484.80

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Solution

The fourth proportional to 33,204.70, 49,820.40 and 13,484.80 is: 20,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.70 : 49,820.40 = 13,484.80 : x
  2. Step 2: Convert to fraction form
    33,204.70/49,820.40 = 13,484.80/x
  3. Step 3: Cross multiply
    33,204.70x = 49,820.40 × 13,484.80
  4. Step 4: Simplify right side
    33,204.70x = 671,818,129.92
  5. Step 5: Solve for x
    x = 671,818,129.92/33,204.70
  6. Step 6: Final answer
    x = 20,232.62

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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.