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Finding the Fourth Proportional to 31,013.42, 46,519.82 and 7,639.85

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Solution

The fourth proportional to 31,013.42, 46,519.82 and 7,639.85 is: 11,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.42 : 46,519.82 = 7,639.85 : x
  2. Step 2: Convert to fraction form
    31,013.42/46,519.82 = 7,639.85/x
  3. Step 3: Cross multiply
    31,013.42x = 46,519.82 × 7,639.85
  4. Step 4: Simplify right side
    31,013.42x = 355,404,553.58
  5. Step 5: Solve for x
    x = 355,404,553.58/31,013.42
  6. Step 6: Final answer
    x = 11,459.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.