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Finding the Fourth Proportional to 32,474.46, 48,728.81 and 23,047.68

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Solution

The fourth proportional to 32,474.46, 48,728.81 and 23,047.68 is: 34,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.46 : 48,728.81 = 23,047.68 : x
  2. Step 2: Convert to fraction form
    32,474.46/48,728.81 = 23,047.68/x
  3. Step 3: Cross multiply
    32,474.46x = 48,728.81 × 23,047.68
  4. Step 4: Simplify right side
    32,474.46x = 1,123,086,019.66
  5. Step 5: Solve for x
    x = 1,123,086,019.66/32,474.46
  6. Step 6: Final answer
    x = 34,583.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.