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Finding the Fourth Proportional to 33,298.68, 49,944.54 and 12,523.80

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Solution

The fourth proportional to 33,298.68, 49,944.54 and 12,523.80 is: 18,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.68 : 49,944.54 = 12,523.80 : x
  2. Step 2: Convert to fraction form
    33,298.68/49,944.54 = 12,523.80/x
  3. Step 3: Cross multiply
    33,298.68x = 49,944.54 × 12,523.80
  4. Step 4: Simplify right side
    33,298.68x = 625,495,430.05
  5. Step 5: Solve for x
    x = 625,495,430.05/33,298.68
  6. Step 6: Final answer
    x = 18,784.39

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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.