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Finding the Fourth Proportional to 113,960.42, 170,961.29 and 57,064

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Solution

The fourth proportional to 113,960.42, 170,961.29 and 57,064 is: 85,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,960.42 : 170,961.29 = 57,064 : x
  2. Step 2: Convert to fraction form
    113,960.42/170,961.29 = 57,064/x
  3. Step 3: Cross multiply
    113,960.42x = 170,961.29 × 57,064
  4. Step 4: Simplify right side
    113,960.42x = 9,755,735,052.56
  5. Step 5: Solve for x
    x = 9,755,735,052.56/113,960.42
  6. Step 6: Final answer
    x = 85,606.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.