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Finding the Fourth Proportional to 105,471.41, 145,550.78 and 57,727.82

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Solution

The fourth proportional to 105,471.41, 145,550.78 and 57,727.82 is: 79,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471.41 : 145,550.78 = 57,727.82 : x
  2. Step 2: Convert to fraction form
    105,471.41/145,550.78 = 57,727.82/x
  3. Step 3: Cross multiply
    105,471.41x = 145,550.78 × 57,727.82
  4. Step 4: Simplify right side
    105,471.41x = 8,402,328,212.31
  5. Step 5: Solve for x
    x = 8,402,328,212.31/105,471.41
  6. Step 6: Final answer
    x = 79,664.51

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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.