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Finding the Fourth Proportional to 32,141.10, 48,204.09 and 8,761.98

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Solution

The fourth proportional to 32,141.10, 48,204.09 and 8,761.98 is: 13,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.10 : 48,204.09 = 8,761.98 : x
  2. Step 2: Convert to fraction form
    32,141.10/48,204.09 = 8,761.98/x
  3. Step 3: Cross multiply
    32,141.10x = 48,204.09 × 8,761.98
  4. Step 4: Simplify right side
    32,141.10x = 422,363,272.50
  5. Step 5: Solve for x
    x = 422,363,272.50/32,141.10
  6. Step 6: Final answer
    x = 13,140.91

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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.