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Finding the Fourth Proportional to 37,967.70, 56,950.74 and 11,671.86

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Solution

The fourth proportional to 37,967.70, 56,950.74 and 11,671.86 is: 17,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,967.70 : 56,950.74 = 11,671.86 : x
  2. Step 2: Convert to fraction form
    37,967.70/56,950.74 = 11,671.86/x
  3. Step 3: Cross multiply
    37,967.70x = 56,950.74 × 11,671.86
  4. Step 4: Simplify right side
    37,967.70x = 664,721,064.18
  5. Step 5: Solve for x
    x = 664,721,064.18/37,967.70
  6. Step 6: Final answer
    x = 17,507.54

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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.