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Finding the Fourth Proportional to 105,757.50, 158,619.23 and 30,860.06

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Solution

The fourth proportional to 105,757.50, 158,619.23 and 30,860.06 is: 46,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.50 : 158,619.23 = 30,860.06 : x
  2. Step 2: Convert to fraction form
    105,757.50/158,619.23 = 30,860.06/x
  3. Step 3: Cross multiply
    105,757.50x = 158,619.23 × 30,860.06
  4. Step 4: Simplify right side
    105,757.50x = 4,894,998,954.95
  5. Step 5: Solve for x
    x = 4,894,998,954.95/105,757.50
  6. Step 6: Final answer
    x = 46,285.12

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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.