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Finding the Fourth Proportional to 69,183.72, 103,774.14 and 46,941.48

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Solution

The fourth proportional to 69,183.72, 103,774.14 and 46,941.48 is: 70,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,183.72 : 103,774.14 = 46,941.48 : x
  2. Step 2: Convert to fraction form
    69,183.72/103,774.14 = 46,941.48/x
  3. Step 3: Cross multiply
    69,183.72x = 103,774.14 × 46,941.48
  4. Step 4: Simplify right side
    69,183.72x = 4,871,311,717.33
  5. Step 5: Solve for x
    x = 4,871,311,717.33/69,183.72
  6. Step 6: Final answer
    x = 70,411.24

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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.