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Finding the Fourth Proportional to 37,675.30, 51,972.28 and 22,352.92

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Solution

The fourth proportional to 37,675.30, 51,972.28 and 22,352.92 is: 30,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675.30 : 51,972.28 = 22,352.92 : x
  2. Step 2: Convert to fraction form
    37,675.30/51,972.28 = 22,352.92/x
  3. Step 3: Cross multiply
    37,675.30x = 51,972.28 × 22,352.92
  4. Step 4: Simplify right side
    37,675.30x = 1,161,732,217.06
  5. Step 5: Solve for x
    x = 1,161,732,217.06/37,675.30
  6. Step 6: Final answer
    x = 30,835.38

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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.