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Finding the Fourth Proportional to 35,469.80, 53,195.10 and 10,509.80

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Solution

The fourth proportional to 35,469.80, 53,195.10 and 10,509.80 is: 15,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,469.80 : 53,195.10 = 10,509.80 : x
  2. Step 2: Convert to fraction form
    35,469.80/53,195.10 = 10,509.80/x
  3. Step 3: Cross multiply
    35,469.80x = 53,195.10 × 10,509.80
  4. Step 4: Simplify right side
    35,469.80x = 559,069,861.98
  5. Step 5: Solve for x
    x = 559,069,861.98/35,469.80
  6. Step 6: Final answer
    x = 15,761.86

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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.