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Finding the Fourth Proportional to 51,893.16, 71,599.38 and 31,742.68

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Solution

The fourth proportional to 51,893.16, 71,599.38 and 31,742.68 is: 43,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893.16 : 71,599.38 = 31,742.68 : x
  2. Step 2: Convert to fraction form
    51,893.16/71,599.38 = 31,742.68/x
  3. Step 3: Cross multiply
    51,893.16x = 71,599.38 × 31,742.68
  4. Step 4: Simplify right side
    51,893.16x = 2,272,756,207.54
  5. Step 5: Solve for x
    x = 2,272,756,207.54/51,893.16
  6. Step 6: Final answer
    x = 43,796.84

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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.