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Finding the Fourth Proportional to 71,312.68, 106,971.50 and 33,853.46

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Solution

The fourth proportional to 71,312.68, 106,971.50 and 33,853.46 is: 50,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312.68 : 106,971.50 = 33,853.46 : x
  2. Step 2: Convert to fraction form
    71,312.68/106,971.50 = 33,853.46/x
  3. Step 3: Cross multiply
    71,312.68x = 106,971.50 × 33,853.46
  4. Step 4: Simplify right side
    71,312.68x = 3,621,355,396.39
  5. Step 5: Solve for x
    x = 3,621,355,396.39/71,312.68
  6. Step 6: Final answer
    x = 50,781.37

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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.