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Finding the Fourth Proportional to 31,715.52, 43,769.88 and 17,569.68

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Solution

The fourth proportional to 31,715.52, 43,769.88 and 17,569.68 is: 24,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.52 : 43,769.88 = 17,569.68 : x
  2. Step 2: Convert to fraction form
    31,715.52/43,769.88 = 17,569.68/x
  3. Step 3: Cross multiply
    31,715.52x = 43,769.88 × 17,569.68
  4. Step 4: Simplify right side
    31,715.52x = 769,022,785.24
  5. Step 5: Solve for x
    x = 769,022,785.24/31,715.52
  6. Step 6: Final answer
    x = 24,247.52

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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.