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Finding the Fourth Proportional to 57,116.39, 78,820.70 and 31,965.89

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Solution

The fourth proportional to 57,116.39, 78,820.70 and 31,965.89 is: 44,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116.39 : 78,820.70 = 31,965.89 : x
  2. Step 2: Convert to fraction form
    57,116.39/78,820.70 = 31,965.89/x
  3. Step 3: Cross multiply
    57,116.39x = 78,820.70 × 31,965.89
  4. Step 4: Simplify right side
    57,116.39x = 2,519,573,715.36
  5. Step 5: Solve for x
    x = 2,519,573,715.36/57,116.39
  6. Step 6: Final answer
    x = 44,112.97

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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.