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Finding the Fourth Proportional to 37,644, 56,469.24 and 9,942

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Solution

The fourth proportional to 37,644, 56,469.24 and 9,942 is: 14,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644 : 56,469.24 = 9,942 : x
  2. Step 2: Convert to fraction form
    37,644/56,469.24 = 9,942/x
  3. Step 3: Cross multiply
    37,644x = 56,469.24 × 9,942
  4. Step 4: Simplify right side
    37,644x = 561,417,184.08
  5. Step 5: Solve for x
    x = 561,417,184.08/37,644
  6. Step 6: Final answer
    x = 14,913.86

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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.