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Finding the Fourth Proportional to 51,310.89, 70,789.55 and 31,160.16

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Solution

The fourth proportional to 51,310.89, 70,789.55 and 31,160.16 is: 42,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,310.89 : 70,789.55 = 31,160.16 : x
  2. Step 2: Convert to fraction form
    51,310.89/70,789.55 = 31,160.16/x
  3. Step 3: Cross multiply
    51,310.89x = 70,789.55 × 31,160.16
  4. Step 4: Simplify right side
    51,310.89x = 2,205,813,548.53
  5. Step 5: Solve for x
    x = 2,205,813,548.53/51,310.89
  6. Step 6: Final answer
    x = 42,989.19

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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.