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Finding the Fourth Proportional to 32,333.31, 48,502.01 and 10,147.56

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Solution

The fourth proportional to 32,333.31, 48,502.01 and 10,147.56 is: 15,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333.31 : 48,502.01 = 10,147.56 : x
  2. Step 2: Convert to fraction form
    32,333.31/48,502.01 = 10,147.56/x
  3. Step 3: Cross multiply
    32,333.31x = 48,502.01 × 10,147.56
  4. Step 4: Simplify right side
    32,333.31x = 492,177,034.92
  5. Step 5: Solve for x
    x = 492,177,034.92/32,333.31
  6. Step 6: Final answer
    x = 15,221.98

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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.