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Finding the Fourth Proportional to 33,200.60, 49,800.69 and 13,478.96

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Solution

The fourth proportional to 33,200.60, 49,800.69 and 13,478.96 is: 20,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.60 : 49,800.69 = 13,478.96 : x
  2. Step 2: Convert to fraction form
    33,200.60/49,800.69 = 13,478.96/x
  3. Step 3: Cross multiply
    33,200.60x = 49,800.69 × 13,478.96
  4. Step 4: Simplify right side
    33,200.60x = 671,261,508.48
  5. Step 5: Solve for x
    x = 671,261,508.48/33,200.60
  6. Step 6: Final answer
    x = 20,218.35

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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.