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Finding the Fourth Proportional to 71,124.82, 106,700.19 and 24,367.30

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Solution

The fourth proportional to 71,124.82, 106,700.19 and 24,367.30 is: 36,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.82 : 106,700.19 = 24,367.30 : x
  2. Step 2: Convert to fraction form
    71,124.82/106,700.19 = 24,367.30/x
  3. Step 3: Cross multiply
    71,124.82x = 106,700.19 × 24,367.30
  4. Step 4: Simplify right side
    71,124.82x = 2,599,995,539.79
  5. Step 5: Solve for x
    x = 2,599,995,539.79/71,124.82
  6. Step 6: Final answer
    x = 36,555.39

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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.