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Finding the Fourth Proportional to 33,346.53, 50,016.15 and 9,967.50

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Solution

The fourth proportional to 33,346.53, 50,016.15 and 9,967.50 is: 14,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,346.53 : 50,016.15 = 9,967.50 : x
  2. Step 2: Convert to fraction form
    33,346.53/50,016.15 = 9,967.50/x
  3. Step 3: Cross multiply
    33,346.53x = 50,016.15 × 9,967.50
  4. Step 4: Simplify right side
    33,346.53x = 498,535,975.13
  5. Step 5: Solve for x
    x = 498,535,975.13/33,346.53
  6. Step 6: Final answer
    x = 14,950.16

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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.