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Finding the Fourth Proportional to 32,471.24, 48,714.24 and 10,286

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Solution

The fourth proportional to 32,471.24, 48,714.24 and 10,286 is: 15,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.24 : 48,714.24 = 10,286 : x
  2. Step 2: Convert to fraction form
    32,471.24/48,714.24 = 10,286/x
  3. Step 3: Cross multiply
    32,471.24x = 48,714.24 × 10,286
  4. Step 4: Simplify right side
    32,471.24x = 501,074,672.64
  5. Step 5: Solve for x
    x = 501,074,672.64/32,471.24
  6. Step 6: Final answer
    x = 15,431.34

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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.