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Finding the Fourth Proportional to 31,382.40, 43,307.52 and 17,234.94

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Solution

The fourth proportional to 31,382.40, 43,307.52 and 17,234.94 is: 23,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.40 : 43,307.52 = 17,234.94 : x
  2. Step 2: Convert to fraction form
    31,382.40/43,307.52 = 17,234.94/x
  3. Step 3: Cross multiply
    31,382.40x = 43,307.52 × 17,234.94
  4. Step 4: Simplify right side
    31,382.40x = 746,402,508.75
  5. Step 5: Solve for x
    x = 746,402,508.75/31,382.40
  6. Step 6: Final answer
    x = 23,784.11

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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.