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Finding the Fourth Proportional to 57,222.46, 78,965.58 and 31,728.93

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Solution

The fourth proportional to 57,222.46, 78,965.58 and 31,728.93 is: 43,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.46 : 78,965.58 = 31,728.93 : x
  2. Step 2: Convert to fraction form
    57,222.46/78,965.58 = 31,728.93/x
  3. Step 3: Cross multiply
    57,222.46x = 78,965.58 × 31,728.93
  4. Step 4: Simplify right side
    57,222.46x = 2,505,493,360.23
  5. Step 5: Solve for x
    x = 2,505,493,360.23/57,222.46
  6. Step 6: Final answer
    x = 43,785.14

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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.