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Finding the Fourth Proportional to 38,195.76, 52,715.52 and 22,288.80

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Solution

The fourth proportional to 38,195.76, 52,715.52 and 22,288.80 is: 30,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.76 : 52,715.52 = 22,288.80 : x
  2. Step 2: Convert to fraction form
    38,195.76/52,715.52 = 22,288.80/x
  3. Step 3: Cross multiply
    38,195.76x = 52,715.52 × 22,288.80
  4. Step 4: Simplify right side
    38,195.76x = 1,174,965,682.18
  5. Step 5: Solve for x
    x = 1,174,965,682.18/38,195.76
  6. Step 6: Final answer
    x = 30,761.68

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