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Finding the Fourth Proportional to 31,692.68, 47,531.82 and 14,153

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Solution

The fourth proportional to 31,692.68, 47,531.82 and 14,153 is: 21,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.68 : 47,531.82 = 14,153 : x
  2. Step 2: Convert to fraction form
    31,692.68/47,531.82 = 14,153/x
  3. Step 3: Cross multiply
    31,692.68x = 47,531.82 × 14,153
  4. Step 4: Simplify right side
    31,692.68x = 672,717,848.46
  5. Step 5: Solve for x
    x = 672,717,848.46/31,692.68
  6. Step 6: Final answer
    x = 21,226.28

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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.