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Finding the Fourth Proportional to 105,469.44, 145,548.27 and 57,727.23

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Solution

The fourth proportional to 105,469.44, 145,548.27 and 57,727.23 is: 79,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,469.44 : 145,548.27 = 57,727.23 : x
  2. Step 2: Convert to fraction form
    105,469.44/145,548.27 = 57,727.23/x
  3. Step 3: Cross multiply
    105,469.44x = 145,548.27 × 57,727.23
  4. Step 4: Simplify right side
    105,469.44x = 8,402,098,568.94
  5. Step 5: Solve for x
    x = 8,402,098,568.94/105,469.44
  6. Step 6: Final answer
    x = 79,663.82

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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.