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Finding the Fourth Proportional to 69,029.62, 103,409.11 and 35,771.50

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Solution

The fourth proportional to 69,029.62, 103,409.11 and 35,771.50 is: 53,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,029.62 : 103,409.11 = 35,771.50 : x
  2. Step 2: Convert to fraction form
    69,029.62/103,409.11 = 35,771.50/x
  3. Step 3: Cross multiply
    69,029.62x = 103,409.11 × 35,771.50
  4. Step 4: Simplify right side
    69,029.62x = 3,699,098,660.29
  5. Step 5: Solve for x
    x = 3,699,098,660.29/69,029.62
  6. Step 6: Final answer
    x = 53,587.12

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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.