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Finding the Fourth Proportional to 110,178.32, 165,237.96 and 47,834

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Solution

The fourth proportional to 110,178.32, 165,237.96 and 47,834 is: 71,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,178.32 : 165,237.96 = 47,834 : x
  2. Step 2: Convert to fraction form
    110,178.32/165,237.96 = 47,834/x
  3. Step 3: Cross multiply
    110,178.32x = 165,237.96 × 47,834
  4. Step 4: Simplify right side
    110,178.32x = 7,903,992,578.64
  5. Step 5: Solve for x
    x = 7,903,992,578.64/110,178.32
  6. Step 6: Final answer
    x = 71,738.18

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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.