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Finding the Fourth Proportional to 105,871.49, 158,773.77 and 34,782.45

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Solution

The fourth proportional to 105,871.49, 158,773.77 and 34,782.45 is: 52,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,871.49 : 158,773.77 = 34,782.45 : x
  2. Step 2: Convert to fraction form
    105,871.49/158,773.77 = 34,782.45/x
  3. Step 3: Cross multiply
    105,871.49x = 158,773.77 × 34,782.45
  4. Step 4: Simplify right side
    105,871.49x = 5,522,540,716.34
  5. Step 5: Solve for x
    x = 5,522,540,716.34/105,871.49
  6. Step 6: Final answer
    x = 52,162.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.