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Finding the Fourth Proportional to 106,181.28, 159,239.52 and 36,045

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Solution

The fourth proportional to 106,181.28, 159,239.52 and 36,045 is: 54,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,181.28 : 159,239.52 = 36,045 : x
  2. Step 2: Convert to fraction form
    106,181.28/159,239.52 = 36,045/x
  3. Step 3: Cross multiply
    106,181.28x = 159,239.52 × 36,045
  4. Step 4: Simplify right side
    106,181.28x = 5,739,788,498.40
  5. Step 5: Solve for x
    x = 5,739,788,498.40/106,181.28
  6. Step 6: Final answer
    x = 54,056.50

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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.