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Finding the Fourth Proportional to 32,471.32, 48,709.50 and 10,285.96

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Solution

The fourth proportional to 32,471.32, 48,709.50 and 10,285.96 is: 15,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.32 : 48,709.50 = 10,285.96 : x
  2. Step 2: Convert to fraction form
    32,471.32/48,709.50 = 10,285.96/x
  3. Step 3: Cross multiply
    32,471.32x = 48,709.50 × 10,285.96
  4. Step 4: Simplify right side
    32,471.32x = 501,023,968.62
  5. Step 5: Solve for x
    x = 501,023,968.62/32,471.32
  6. Step 6: Final answer
    x = 15,429.74

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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.