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Finding the Fourth Proportional to 51,507.32, 71,097.20 and 31,377.20

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Solution

The fourth proportional to 51,507.32, 71,097.20 and 31,377.20 is: 43,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,507.32 : 71,097.20 = 31,377.20 : x
  2. Step 2: Convert to fraction form
    51,507.32/71,097.20 = 31,377.20/x
  3. Step 3: Cross multiply
    51,507.32x = 71,097.20 × 31,377.20
  4. Step 4: Simplify right side
    51,507.32x = 2,230,831,063.84
  5. Step 5: Solve for x
    x = 2,230,831,063.84/51,507.32
  6. Step 6: Final answer
    x = 43,310.95

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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.