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Finding the Fourth Proportional to 69,202, 103,810.29 and 31,755.70

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Solution

The fourth proportional to 69,202, 103,810.29 and 31,755.70 is: 47,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202 : 103,810.29 = 31,755.70 : x
  2. Step 2: Convert to fraction form
    69,202/103,810.29 = 31,755.70/x
  3. Step 3: Cross multiply
    69,202x = 103,810.29 × 31,755.70
  4. Step 4: Simplify right side
    69,202x = 3,296,568,426.15
  5. Step 5: Solve for x
    x = 3,296,568,426.15/69,202
  6. Step 6: Final answer
    x = 47,636.90

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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.