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Finding the Fourth Proportional to 32,884.36, 49,321.66 and 12,103

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Solution

The fourth proportional to 32,884.36, 49,321.66 and 12,103 is: 18,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.36 : 49,321.66 = 12,103 : x
  2. Step 2: Convert to fraction form
    32,884.36/49,321.66 = 12,103/x
  3. Step 3: Cross multiply
    32,884.36x = 49,321.66 × 12,103
  4. Step 4: Simplify right side
    32,884.36x = 596,940,050.98
  5. Step 5: Solve for x
    x = 596,940,050.98/32,884.36
  6. Step 6: Final answer
    x = 18,152.70

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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.