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Finding the Fourth Proportional to 32,576.63, 48,865.14 and 9,203.27

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Solution

The fourth proportional to 32,576.63, 48,865.14 and 9,203.27 is: 13,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.63 : 48,865.14 = 9,203.27 : x
  2. Step 2: Convert to fraction form
    32,576.63/48,865.14 = 9,203.27/x
  3. Step 3: Cross multiply
    32,576.63x = 48,865.14 × 9,203.27
  4. Step 4: Simplify right side
    32,576.63x = 449,719,077.01
  5. Step 5: Solve for x
    x = 449,719,077.01/32,576.63
  6. Step 6: Final answer
    x = 13,804.96

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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.