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Finding the Fourth Proportional to 31,667.94, 47,494.89 and 14,126.58

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Solution

The fourth proportional to 31,667.94, 47,494.89 and 14,126.58 is: 21,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.94 : 47,494.89 = 14,126.58 : x
  2. Step 2: Convert to fraction form
    31,667.94/47,494.89 = 14,126.58/x
  3. Step 3: Cross multiply
    31,667.94x = 47,494.89 × 14,126.58
  4. Step 4: Simplify right side
    31,667.94x = 670,940,363.18
  5. Step 5: Solve for x
    x = 670,940,363.18/31,667.94
  6. Step 6: Final answer
    x = 21,186.74

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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.