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Finding the Fourth Proportional to 49,011.30, 73,472.49 and 17,824.50

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Solution

The fourth proportional to 49,011.30, 73,472.49 and 17,824.50 is: 26,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,011.30 : 73,472.49 = 17,824.50 : x
  2. Step 2: Convert to fraction form
    49,011.30/73,472.49 = 17,824.50/x
  3. Step 3: Cross multiply
    49,011.30x = 73,472.49 × 17,824.50
  4. Step 4: Simplify right side
    49,011.30x = 1,309,610,398.01
  5. Step 5: Solve for x
    x = 1,309,610,398.01/49,011.30
  6. Step 6: Final answer
    x = 26,720.58

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