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Finding the Fourth Proportional to 102,109.10, 153,163.71 and 31,993.88

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Solution

The fourth proportional to 102,109.10, 153,163.71 and 31,993.88 is: 47,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,109.10 : 153,163.71 = 31,993.88 : x
  2. Step 2: Convert to fraction form
    102,109.10/153,163.71 = 31,993.88/x
  3. Step 3: Cross multiply
    102,109.10x = 153,163.71 × 31,993.88
  4. Step 4: Simplify right side
    102,109.10x = 4,900,300,592.28
  5. Step 5: Solve for x
    x = 4,900,300,592.28/102,109.10
  6. Step 6: Final answer
    x = 47,990.83

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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.