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Finding the Fourth Proportional to 32,576.91, 48,865.23 and 9,203.28

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Solution

The fourth proportional to 32,576.91, 48,865.23 and 9,203.28 is: 13,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.91 : 48,865.23 = 9,203.28 : x
  2. Step 2: Convert to fraction form
    32,576.91/48,865.23 = 9,203.28/x
  3. Step 3: Cross multiply
    32,576.91x = 48,865.23 × 9,203.28
  4. Step 4: Simplify right side
    32,576.91x = 449,720,393.95
  5. Step 5: Solve for x
    x = 449,720,393.95/32,576.91
  6. Step 6: Final answer
    x = 13,804.88

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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.