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Finding the Fourth Proportional to 32,211.51, 48,321.83 and 10,027.13

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Solution

The fourth proportional to 32,211.51, 48,321.83 and 10,027.13 is: 15,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,211.51 : 48,321.83 = 10,027.13 : x
  2. Step 2: Convert to fraction form
    32,211.51/48,321.83 = 10,027.13/x
  3. Step 3: Cross multiply
    32,211.51x = 48,321.83 × 10,027.13
  4. Step 4: Simplify right side
    32,211.51x = 484,529,379.52
  5. Step 5: Solve for x
    x = 484,529,379.52/32,211.51
  6. Step 6: Final answer
    x = 15,042.12

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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.