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Finding the Fourth Proportional to 37,643.61, 56,451.07 and 12,676.96

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Solution

The fourth proportional to 37,643.61, 56,451.07 and 12,676.96 is: 19,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.61 : 56,451.07 = 12,676.96 : x
  2. Step 2: Convert to fraction form
    37,643.61/56,451.07 = 12,676.96/x
  3. Step 3: Cross multiply
    37,643.61x = 56,451.07 × 12,676.96
  4. Step 4: Simplify right side
    37,643.61x = 715,627,956.35
  5. Step 5: Solve for x
    x = 715,627,956.35/37,643.61
  6. Step 6: Final answer
    x = 19,010.61

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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.