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Finding the Fourth Proportional to 31,624.70, 43,642.42 and 17,284.94

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Solution

The fourth proportional to 31,624.70, 43,642.42 and 17,284.94 is: 23,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.70 : 43,642.42 = 17,284.94 : x
  2. Step 2: Convert to fraction form
    31,624.70/43,642.42 = 17,284.94/x
  3. Step 3: Cross multiply
    31,624.70x = 43,642.42 × 17,284.94
  4. Step 4: Simplify right side
    31,624.70x = 754,356,611.15
  5. Step 5: Solve for x
    x = 754,356,611.15/31,624.70
  6. Step 6: Final answer
    x = 23,853.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.