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Finding the Fourth Proportional to 32,450.56, 48,680.61 and 10,258.90

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Solution

The fourth proportional to 32,450.56, 48,680.61 and 10,258.90 is: 15,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.56 : 48,680.61 = 10,258.90 : x
  2. Step 2: Convert to fraction form
    32,450.56/48,680.61 = 10,258.90/x
  3. Step 3: Cross multiply
    32,450.56x = 48,680.61 × 10,258.90
  4. Step 4: Simplify right side
    32,450.56x = 499,409,509.93
  5. Step 5: Solve for x
    x = 499,409,509.93/32,450.56
  6. Step 6: Final answer
    x = 15,389.86

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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.