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Finding the Fourth Proportional to 105,452.43, 145,524.32 and 57,705.77

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Solution

The fourth proportional to 105,452.43, 145,524.32 and 57,705.77 is: 79,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.43 : 145,524.32 = 57,705.77 : x
  2. Step 2: Convert to fraction form
    105,452.43/145,524.32 = 57,705.77/x
  3. Step 3: Cross multiply
    105,452.43x = 145,524.32 × 57,705.77
  4. Step 4: Simplify right side
    105,452.43x = 8,397,591,923.18
  5. Step 5: Solve for x
    x = 8,397,591,923.18/105,452.43
  6. Step 6: Final answer
    x = 79,633.93

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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.