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Finding the Fourth Proportional to 105,605.22, 158,391.30 and 34,527.30

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Solution

The fourth proportional to 105,605.22, 158,391.30 and 34,527.30 is: 51,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,605.22 : 158,391.30 = 34,527.30 : x
  2. Step 2: Convert to fraction form
    105,605.22/158,391.30 = 34,527.30/x
  3. Step 3: Cross multiply
    105,605.22x = 158,391.30 × 34,527.30
  4. Step 4: Simplify right side
    105,605.22x = 5,468,823,932.49
  5. Step 5: Solve for x
    x = 5,468,823,932.49/105,605.22
  6. Step 6: Final answer
    x = 51,785.55

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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.