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Finding the Fourth Proportional to 57,035.67, 78,712.17 and 32,840.22

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Solution

The fourth proportional to 57,035.67, 78,712.17 and 32,840.22 is: 45,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,035.67 : 78,712.17 = 32,840.22 : x
  2. Step 2: Convert to fraction form
    57,035.67/78,712.17 = 32,840.22/x
  3. Step 3: Cross multiply
    57,035.67x = 78,712.17 × 32,840.22
  4. Step 4: Simplify right side
    57,035.67x = 2,584,925,336.22
  5. Step 5: Solve for x
    x = 2,584,925,336.22/57,035.67
  6. Step 6: Final answer
    x = 45,321.21

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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.