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Finding the Fourth Proportional to 105,676.50, 158,511.96 and 30,817.31

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Solution

The fourth proportional to 105,676.50, 158,511.96 and 30,817.31 is: 46,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.50 : 158,511.96 = 30,817.31 : x
  2. Step 2: Convert to fraction form
    105,676.50/158,511.96 = 30,817.31/x
  3. Step 3: Cross multiply
    105,676.50x = 158,511.96 × 30,817.31
  4. Step 4: Simplify right side
    105,676.50x = 4,884,912,606.31
  5. Step 5: Solve for x
    x = 4,884,912,606.31/105,676.50
  6. Step 6: Final answer
    x = 46,225.16

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Why These Related Problems?

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