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Finding the Fourth Proportional to 32,134.72, 48,211.92 and 14,380.32

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Solution

The fourth proportional to 32,134.72, 48,211.92 and 14,380.32 is: 21,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.72 : 48,211.92 = 14,380.32 : x
  2. Step 2: Convert to fraction form
    32,134.72/48,211.92 = 14,380.32/x
  3. Step 3: Cross multiply
    32,134.72x = 48,211.92 × 14,380.32
  4. Step 4: Simplify right side
    32,134.72x = 693,302,716.88
  5. Step 5: Solve for x
    x = 693,302,716.88/32,134.72
  6. Step 6: Final answer
    x = 21,574.88

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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.