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Finding the Fourth Proportional to 32,446.32, 48,688.68 and 13,725.32

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Solution

The fourth proportional to 32,446.32, 48,688.68 and 13,725.32 is: 20,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.32 : 48,688.68 = 13,725.32 : x
  2. Step 2: Convert to fraction form
    32,446.32/48,688.68 = 13,725.32/x
  3. Step 3: Cross multiply
    32,446.32x = 48,688.68 × 13,725.32
  4. Step 4: Simplify right side
    32,446.32x = 668,267,713.38
  5. Step 5: Solve for x
    x = 668,267,713.38/32,446.32
  6. Step 6: Final answer
    x = 20,596.10

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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.