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Finding the Fourth Proportional to 37,642.86, 56,449.94 and 12,676.21

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Solution

The fourth proportional to 37,642.86, 56,449.94 and 12,676.21 is: 19,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.86 : 56,449.94 = 12,676.21 : x
  2. Step 2: Convert to fraction form
    37,642.86/56,449.94 = 12,676.21/x
  3. Step 3: Cross multiply
    37,642.86x = 56,449.94 × 12,676.21
  4. Step 4: Simplify right side
    37,642.86x = 715,571,293.93
  5. Step 5: Solve for x
    x = 715,571,293.93/37,642.86
  6. Step 6: Final answer
    x = 19,009.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.