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Finding the Fourth Proportional to 71,453.90, 107,153.39 and 33,985.10

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Solution

The fourth proportional to 71,453.90, 107,153.39 and 33,985.10 is: 50,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,453.90 : 107,153.39 = 33,985.10 : x
  2. Step 2: Convert to fraction form
    71,453.90/107,153.39 = 33,985.10/x
  3. Step 3: Cross multiply
    71,453.90x = 107,153.39 × 33,985.10
  4. Step 4: Simplify right side
    71,453.90x = 3,641,618,674.49
  5. Step 5: Solve for x
    x = 3,641,618,674.49/71,453.90
  6. Step 6: Final answer
    x = 50,964.59

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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.