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Finding the Fourth Proportional to 31,342.82, 47,012.13 and 14,706.50

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Solution

The fourth proportional to 31,342.82, 47,012.13 and 14,706.50 is: 22,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.82 : 47,012.13 = 14,706.50 : x
  2. Step 2: Convert to fraction form
    31,342.82/47,012.13 = 14,706.50/x
  3. Step 3: Cross multiply
    31,342.82x = 47,012.13 × 14,706.50
  4. Step 4: Simplify right side
    31,342.82x = 691,383,654.78
  5. Step 5: Solve for x
    x = 691,383,654.78/31,342.82
  6. Step 6: Final answer
    x = 22,058.76

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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.