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Finding the Fourth Proportional to 105,757.50, 158,620.64 and 30,857.54

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Solution

The fourth proportional to 105,757.50, 158,620.64 and 30,857.54 is: 46,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.50 : 158,620.64 = 30,857.54 : x
  2. Step 2: Convert to fraction form
    105,757.50/158,620.64 = 30,857.54/x
  3. Step 3: Cross multiply
    105,757.50x = 158,620.64 × 30,857.54
  4. Step 4: Simplify right side
    105,757.50x = 4,894,642,985.89
  5. Step 5: Solve for x
    x = 4,894,642,985.89/105,757.50
  6. Step 6: Final answer
    x = 46,281.76

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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.