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Finding the Fourth Proportional to 31,281.09, 46,915.16 and 11,546.16

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Solution

The fourth proportional to 31,281.09, 46,915.16 and 11,546.16 is: 17,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.09 : 46,915.16 = 11,546.16 : x
  2. Step 2: Convert to fraction form
    31,281.09/46,915.16 = 11,546.16/x
  3. Step 3: Cross multiply
    31,281.09x = 46,915.16 × 11,546.16
  4. Step 4: Simplify right side
    31,281.09x = 541,689,886.05
  5. Step 5: Solve for x
    x = 541,689,886.05/31,281.09
  6. Step 6: Final answer
    x = 17,316.85

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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.