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Finding the Fourth Proportional to 57,071.62, 78,757.32 and 31,577.32

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Solution

The fourth proportional to 57,071.62, 78,757.32 and 31,577.32 is: 43,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071.62 : 78,757.32 = 31,577.32 : x
  2. Step 2: Convert to fraction form
    57,071.62/78,757.32 = 31,577.32/x
  3. Step 3: Cross multiply
    57,071.62x = 78,757.32 × 31,577.32
  4. Step 4: Simplify right side
    57,071.62x = 2,486,945,095.98
  5. Step 5: Solve for x
    x = 2,486,945,095.98/57,071.62
  6. Step 6: Final answer
    x = 43,575.86

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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.