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Finding the Fourth Proportional to 57,118.72, 78,824.88 and 31,968.16

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Solution

The fourth proportional to 57,118.72, 78,824.88 and 31,968.16 is: 44,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118.72 : 78,824.88 = 31,968.16 : x
  2. Step 2: Convert to fraction form
    57,118.72/78,824.88 = 31,968.16/x
  3. Step 3: Cross multiply
    57,118.72x = 78,824.88 × 31,968.16
  4. Step 4: Simplify right side
    57,118.72x = 2,519,886,375.82
  5. Step 5: Solve for x
    x = 2,519,886,375.82/57,118.72
  6. Step 6: Final answer
    x = 44,116.65

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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.