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Finding the Fourth Proportional to 32,576.02, 48,865.92 and 9,200.50

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Solution

The fourth proportional to 32,576.02, 48,865.92 and 9,200.50 is: 13,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.02 : 48,865.92 = 9,200.50 : x
  2. Step 2: Convert to fraction form
    32,576.02/48,865.92 = 9,200.50/x
  3. Step 3: Cross multiply
    32,576.02x = 48,865.92 × 9,200.50
  4. Step 4: Simplify right side
    32,576.02x = 449,590,896.96
  5. Step 5: Solve for x
    x = 449,590,896.96/32,576.02
  6. Step 6: Final answer
    x = 13,801.28

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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.