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Finding the Fourth Proportional to 32,516.28, 48,776.31 and 9,144.54

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Solution

The fourth proportional to 32,516.28, 48,776.31 and 9,144.54 is: 13,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.28 : 48,776.31 = 9,144.54 : x
  2. Step 2: Convert to fraction form
    32,516.28/48,776.31 = 9,144.54/x
  3. Step 3: Cross multiply
    32,516.28x = 48,776.31 × 9,144.54
  4. Step 4: Simplify right side
    32,516.28x = 446,036,917.85
  5. Step 5: Solve for x
    x = 446,036,917.85/32,516.28
  6. Step 6: Final answer
    x = 13,717.34

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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.