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Finding the Fourth Proportional to 33,588.72, 50,346.18 and 13,856.58

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Solution

The fourth proportional to 33,588.72, 50,346.18 and 13,856.58 is: 20,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588.72 : 50,346.18 = 13,856.58 : x
  2. Step 2: Convert to fraction form
    33,588.72/50,346.18 = 13,856.58/x
  3. Step 3: Cross multiply
    33,588.72x = 50,346.18 × 13,856.58
  4. Step 4: Simplify right side
    33,588.72x = 697,625,870.86
  5. Step 5: Solve for x
    x = 697,625,870.86/33,588.72
  6. Step 6: Final answer
    x = 20,769.65

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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.