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Finding the Fourth Proportional to 31,297.14, 46,915.95 and 11,560.68

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Solution

The fourth proportional to 31,297.14, 46,915.95 and 11,560.68 is: 17,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.14 : 46,915.95 = 11,560.68 : x
  2. Step 2: Convert to fraction form
    31,297.14/46,915.95 = 11,560.68/x
  3. Step 3: Cross multiply
    31,297.14x = 46,915.95 × 11,560.68
  4. Step 4: Simplify right side
    31,297.14x = 542,380,284.85
  5. Step 5: Solve for x
    x = 542,380,284.85/31,297.14
  6. Step 6: Final answer
    x = 17,330.03

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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.