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Finding the Fourth Proportional to 33,152.40, 49,728.60 and 9,459.90

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Solution

The fourth proportional to 33,152.40, 49,728.60 and 9,459.90 is: 14,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.40 : 49,728.60 = 9,459.90 : x
  2. Step 2: Convert to fraction form
    33,152.40/49,728.60 = 9,459.90/x
  3. Step 3: Cross multiply
    33,152.40x = 49,728.60 × 9,459.90
  4. Step 4: Simplify right side
    33,152.40x = 470,427,583.14
  5. Step 5: Solve for x
    x = 470,427,583.14/33,152.40
  6. Step 6: Final answer
    x = 14,189.85

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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.