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Finding the Fourth Proportional to 32,105.93, 48,146.45 and 11,041.97

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Solution

The fourth proportional to 32,105.93, 48,146.45 and 11,041.97 is: 16,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.93 : 48,146.45 = 11,041.97 : x
  2. Step 2: Convert to fraction form
    32,105.93/48,146.45 = 11,041.97/x
  3. Step 3: Cross multiply
    32,105.93x = 48,146.45 × 11,041.97
  4. Step 4: Simplify right side
    32,105.93x = 531,631,360.56
  5. Step 5: Solve for x
    x = 531,631,360.56/32,105.93
  6. Step 6: Final answer
    x = 16,558.67

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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.