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Finding the Fourth Proportional to 25,073.40, 37,612 and 8,433.48

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Solution

The fourth proportional to 25,073.40, 37,612 and 8,433.48 is: 12,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,073.40 : 37,612 = 8,433.48 : x
  2. Step 2: Convert to fraction form
    25,073.40/37,612 = 8,433.48/x
  3. Step 3: Cross multiply
    25,073.40x = 37,612 × 8,433.48
  4. Step 4: Simplify right side
    25,073.40x = 317,200,049.76
  5. Step 5: Solve for x
    x = 317,200,049.76/25,073.40
  6. Step 6: Final answer
    x = 12,650.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.