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Finding the Fourth Proportional to 31,092.20, 46,624.80 and 14,446.70

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Solution

The fourth proportional to 31,092.20, 46,624.80 and 14,446.70 is: 21,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.20 : 46,624.80 = 14,446.70 : x
  2. Step 2: Convert to fraction form
    31,092.20/46,624.80 = 14,446.70/x
  3. Step 3: Cross multiply
    31,092.20x = 46,624.80 × 14,446.70
  4. Step 4: Simplify right side
    31,092.20x = 673,574,498.16
  5. Step 5: Solve for x
    x = 673,574,498.16/31,092.20
  6. Step 6: Final answer
    x = 21,663.78

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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.