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Finding the Fourth Proportional to 31,052.27, 42,846.50 and 17,624.09

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Solution

The fourth proportional to 31,052.27, 42,846.50 and 17,624.09 is: 24,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.27 : 42,846.50 = 17,624.09 : x
  2. Step 2: Convert to fraction form
    31,052.27/42,846.50 = 17,624.09/x
  3. Step 3: Cross multiply
    31,052.27x = 42,846.50 × 17,624.09
  4. Step 4: Simplify right side
    31,052.27x = 755,130,484.06
  5. Step 5: Solve for x
    x = 755,130,484.06/31,052.27
  6. Step 6: Final answer
    x = 24,318.04

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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.