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Finding the Fourth Proportional to 32,234.82, 48,353.31 and 22,916.58

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Solution

The fourth proportional to 32,234.82, 48,353.31 and 22,916.58 is: 34,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.82 : 48,353.31 = 22,916.58 : x
  2. Step 2: Convert to fraction form
    32,234.82/48,353.31 = 22,916.58/x
  3. Step 3: Cross multiply
    32,234.82x = 48,353.31 × 22,916.58
  4. Step 4: Simplify right side
    32,234.82x = 1,108,092,496.88
  5. Step 5: Solve for x
    x = 1,108,092,496.88/32,234.82
  6. Step 6: Final answer
    x = 34,375.64

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1.5x scale

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.