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Finding the Fourth Proportional to 71,511.93, 107,193.06 and 24,110.64

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Solution

The fourth proportional to 71,511.93, 107,193.06 and 24,110.64 is: 36,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,511.93 : 107,193.06 = 24,110.64 : x
  2. Step 2: Convert to fraction form
    71,511.93/107,193.06 = 24,110.64/x
  3. Step 3: Cross multiply
    71,511.93x = 107,193.06 × 24,110.64
  4. Step 4: Simplify right side
    71,511.93x = 2,584,493,280.16
  5. Step 5: Solve for x
    x = 2,584,493,280.16/71,511.93
  6. Step 6: Final answer
    x = 36,140.73

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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.