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Finding the Fourth Proportional to 31,382.85, 43,308.68 and 17,235.70

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Solution

The fourth proportional to 31,382.85, 43,308.68 and 17,235.70 is: 23,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.85 : 43,308.68 = 17,235.70 : x
  2. Step 2: Convert to fraction form
    31,382.85/43,308.68 = 17,235.70/x
  3. Step 3: Cross multiply
    31,382.85x = 43,308.68 × 17,235.70
  4. Step 4: Simplify right side
    31,382.85x = 746,455,156.24
  5. Step 5: Solve for x
    x = 746,455,156.24/31,382.85
  6. Step 6: Final answer
    x = 23,785.45

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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.