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Finding the Fourth Proportional to 32,471.32, 48,709.75 and 11,409.53

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Solution

The fourth proportional to 32,471.32, 48,709.75 and 11,409.53 is: 17,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.32 : 48,709.75 = 11,409.53 : x
  2. Step 2: Convert to fraction form
    32,471.32/48,709.75 = 11,409.53/x
  3. Step 3: Cross multiply
    32,471.32x = 48,709.75 × 11,409.53
  4. Step 4: Simplify right side
    32,471.32x = 555,755,353.92
  5. Step 5: Solve for x
    x = 555,755,353.92/32,471.32
  6. Step 6: Final answer
    x = 17,115.27

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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.