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Finding the Fourth Proportional to 71,239.86, 106,820.34 and 29,149.50

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Solution

The fourth proportional to 71,239.86, 106,820.34 and 29,149.50 is: 43,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,239.86 : 106,820.34 = 29,149.50 : x
  2. Step 2: Convert to fraction form
    71,239.86/106,820.34 = 29,149.50/x
  3. Step 3: Cross multiply
    71,239.86x = 106,820.34 × 29,149.50
  4. Step 4: Simplify right side
    71,239.86x = 3,113,759,500.83
  5. Step 5: Solve for x
    x = 3,113,759,500.83/71,239.86
  6. Step 6: Final answer
    x = 43,708.11

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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.