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Finding the Fourth Proportional to 106,491.44, 159,774.78 and 47,321.72

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Solution

The fourth proportional to 106,491.44, 159,774.78 and 47,321.72 is: 70,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,491.44 : 159,774.78 = 47,321.72 : x
  2. Step 2: Convert to fraction form
    106,491.44/159,774.78 = 47,321.72/x
  3. Step 3: Cross multiply
    106,491.44x = 159,774.78 × 47,321.72
  4. Step 4: Simplify right side
    106,491.44x = 7,560,817,402.22
  5. Step 5: Solve for x
    x = 7,560,817,402.22/106,491.44
  6. Step 6: Final answer
    x = 70,999.30

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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.