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Finding the Fourth Proportional to 106,224.58, 159,263.05 and 47,027.96

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Solution

The fourth proportional to 106,224.58, 159,263.05 and 47,027.96 is: 70,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,224.58 : 159,263.05 = 47,027.96 : x
  2. Step 2: Convert to fraction form
    106,224.58/159,263.05 = 47,027.96/x
  3. Step 3: Cross multiply
    106,224.58x = 159,263.05 × 47,027.96
  4. Step 4: Simplify right side
    106,224.58x = 7,489,816,344.88
  5. Step 5: Solve for x
    x = 7,489,816,344.88/106,224.58
  6. Step 6: Final answer
    x = 70,509.26

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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.