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Finding the Fourth Proportional to 31,715.60, 43,767.84 and 17,568.64

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Solution

The fourth proportional to 31,715.60, 43,767.84 and 17,568.64 is: 24,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.60 : 43,767.84 = 17,568.64 : x
  2. Step 2: Convert to fraction form
    31,715.60/43,767.84 = 17,568.64/x
  3. Step 3: Cross multiply
    31,715.60x = 43,767.84 × 17,568.64
  4. Step 4: Simplify right side
    31,715.60x = 768,941,424.54
  5. Step 5: Solve for x
    x = 768,941,424.54/31,715.60
  6. Step 6: Final answer
    x = 24,244.90

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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.