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Finding the Fourth Proportional to 69,146.70, 103,694.13 and 29,683.50

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Solution

The fourth proportional to 69,146.70, 103,694.13 and 29,683.50 is: 44,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,146.70 : 103,694.13 = 29,683.50 : x
  2. Step 2: Convert to fraction form
    69,146.70/103,694.13 = 29,683.50/x
  3. Step 3: Cross multiply
    69,146.70x = 103,694.13 × 29,683.50
  4. Step 4: Simplify right side
    69,146.70x = 3,078,004,707.86
  5. Step 5: Solve for x
    x = 3,078,004,707.86/69,146.70
  6. Step 6: Final answer
    x = 44,514.12

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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.