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Finding the Fourth Proportional to 71,027.69, 106,412.33 and 41,355.57

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Solution

The fourth proportional to 71,027.69, 106,412.33 and 41,355.57 is: 61,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.69 : 106,412.33 = 41,355.57 : x
  2. Step 2: Convert to fraction form
    71,027.69/106,412.33 = 41,355.57/x
  3. Step 3: Cross multiply
    71,027.69x = 106,412.33 × 41,355.57
  4. Step 4: Simplify right side
    71,027.69x = 4,400,742,355.40
  5. Step 5: Solve for x
    x = 4,400,742,355.40/71,027.69
  6. Step 6: Final answer
    x = 61,958.12

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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.