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Finding the Fourth Proportional to 31,052.52, 42,846.84 and 17,624.34

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Solution

The fourth proportional to 31,052.52, 42,846.84 and 17,624.34 is: 24,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.52 : 42,846.84 = 17,624.34 : x
  2. Step 2: Convert to fraction form
    31,052.52/42,846.84 = 17,624.34/x
  3. Step 3: Cross multiply
    31,052.52x = 42,846.84 × 17,624.34
  4. Step 4: Simplify right side
    31,052.52x = 755,147,276.09
  5. Step 5: Solve for x
    x = 755,147,276.09/31,052.52
  6. Step 6: Final answer
    x = 24,318.39

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Why These Related Problems?

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