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Finding the Fourth Proportional to 31,663.56, 47,464.02 and 14,994.30

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Solution

The fourth proportional to 31,663.56, 47,464.02 and 14,994.30 is: 22,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.56 : 47,464.02 = 14,994.30 : x
  2. Step 2: Convert to fraction form
    31,663.56/47,464.02 = 14,994.30/x
  3. Step 3: Cross multiply
    31,663.56x = 47,464.02 × 14,994.30
  4. Step 4: Simplify right side
    31,663.56x = 711,689,755.09
  5. Step 5: Solve for x
    x = 711,689,755.09/31,663.56
  6. Step 6: Final answer
    x = 22,476.62

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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.