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Finding the Fourth Proportional to 71,205.99, 106,715.57 and 52,397.97

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Solution

The fourth proportional to 71,205.99, 106,715.57 and 52,397.97 is: 78,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.99 : 106,715.57 = 52,397.97 : x
  2. Step 2: Convert to fraction form
    71,205.99/106,715.57 = 52,397.97/x
  3. Step 3: Cross multiply
    71,205.99x = 106,715.57 × 52,397.97
  4. Step 4: Simplify right side
    71,205.99x = 5,591,678,973.40
  5. Step 5: Solve for x
    x = 5,591,678,973.40/71,205.99
  6. Step 6: Final answer
    x = 78,528.21

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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.