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Finding the Fourth Proportional to 57,201.53, 78,938.64 and 31,708.17

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Solution

The fourth proportional to 57,201.53, 78,938.64 and 31,708.17 is: 43,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,201.53 : 78,938.64 = 31,708.17 : x
  2. Step 2: Convert to fraction form
    57,201.53/78,938.64 = 31,708.17/x
  3. Step 3: Cross multiply
    57,201.53x = 78,938.64 × 31,708.17
  4. Step 4: Simplify right side
    57,201.53x = 2,502,999,816.69
  5. Step 5: Solve for x
    x = 2,502,999,816.69/57,201.53
  6. Step 6: Final answer
    x = 43,757.57

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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.