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Finding the Fourth Proportional to 71,155.82, 106,733.74 and 50,008.94

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Solution

The fourth proportional to 71,155.82, 106,733.74 and 50,008.94 is: 75,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,155.82 : 106,733.74 = 50,008.94 : x
  2. Step 2: Convert to fraction form
    71,155.82/106,733.74 = 50,008.94/x
  3. Step 3: Cross multiply
    71,155.82x = 106,733.74 × 50,008.94
  4. Step 4: Simplify right side
    71,155.82x = 5,337,641,199.64
  5. Step 5: Solve for x
    x = 5,337,641,199.64/71,155.82
  6. Step 6: Final answer
    x = 75,013.42

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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.