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Finding the Fourth Proportional to 71,143.22, 106,730.21 and 37,858.39

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Solution

The fourth proportional to 71,143.22, 106,730.21 and 37,858.39 is: 56,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.22 : 106,730.21 = 37,858.39 : x
  2. Step 2: Convert to fraction form
    71,143.22/106,730.21 = 37,858.39/x
  3. Step 3: Cross multiply
    71,143.22x = 106,730.21 × 37,858.39
  4. Step 4: Simplify right side
    71,143.22x = 4,040,634,143.02
  5. Step 5: Solve for x
    x = 4,040,634,143.02/71,143.22
  6. Step 6: Final answer
    x = 56,795.78

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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.