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Finding the Fourth Proportional to 32,472.88, 48,622.28 and 22,591.28

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Solution

The fourth proportional to 32,472.88, 48,622.28 and 22,591.28 is: 33,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.88 : 48,622.28 = 22,591.28 : x
  2. Step 2: Convert to fraction form
    32,472.88/48,622.28 = 22,591.28/x
  3. Step 3: Cross multiply
    32,472.88x = 48,622.28 × 22,591.28
  4. Step 4: Simplify right side
    32,472.88x = 1,098,439,541.72
  5. Step 5: Solve for x
    x = 1,098,439,541.72/32,472.88
  6. Step 6: Final answer
    x = 33,826.37

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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.