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Finding the Fourth Proportional to 32,446.78, 48,658.29 and 15,801.82

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Solution

The fourth proportional to 32,446.78, 48,658.29 and 15,801.82 is: 23,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.78 : 48,658.29 = 15,801.82 : x
  2. Step 2: Convert to fraction form
    32,446.78/48,658.29 = 15,801.82/x
  3. Step 3: Cross multiply
    32,446.78x = 48,658.29 × 15,801.82
  4. Step 4: Simplify right side
    32,446.78x = 768,889,540.09
  5. Step 5: Solve for x
    x = 768,889,540.09/32,446.78
  6. Step 6: Final answer
    x = 23,696.94

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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.