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Finding the Fourth Proportional to 32,001.47, 47,996.43 and 8,622.44

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Solution

The fourth proportional to 32,001.47, 47,996.43 and 8,622.44 is: 12,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.47 : 47,996.43 = 8,622.44 : x
  2. Step 2: Convert to fraction form
    32,001.47/47,996.43 = 8,622.44/x
  3. Step 3: Cross multiply
    32,001.47x = 47,996.43 × 8,622.44
  4. Step 4: Simplify right side
    32,001.47x = 413,846,337.89
  5. Step 5: Solve for x
    x = 413,846,337.89/32,001.47
  6. Step 6: Final answer
    x = 12,932.10

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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.