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Finding the Fourth Proportional to 105,561.50, 145,678.32 and 57,817.44

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Solution

The fourth proportional to 105,561.50, 145,678.32 and 57,817.44 is: 79,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,561.50 : 145,678.32 = 57,817.44 : x
  2. Step 2: Convert to fraction form
    105,561.50/145,678.32 = 57,817.44/x
  3. Step 3: Cross multiply
    105,561.50x = 145,678.32 × 57,817.44
  4. Step 4: Simplify right side
    105,561.50x = 8,422,747,525.90
  5. Step 5: Solve for x
    x = 8,422,747,525.90/105,561.50
  6. Step 6: Final answer
    x = 79,789.96

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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.