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Finding the Fourth Proportional to 95,711, 143,567.72 and 33,381.50

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Solution

The fourth proportional to 95,711, 143,567.72 and 33,381.50 is: 50,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,711 : 143,567.72 = 33,381.50 : x
  2. Step 2: Convert to fraction form
    95,711/143,567.72 = 33,381.50/x
  3. Step 3: Cross multiply
    95,711x = 143,567.72 × 33,381.50
  4. Step 4: Simplify right side
    95,711x = 4,792,505,845.18
  5. Step 5: Solve for x
    x = 4,792,505,845.18/95,711
  6. Step 6: Final answer
    x = 50,072.68

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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.