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Finding the Fourth Proportional to 46,774, 70,117.26 and 17,183.89

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Solution

The fourth proportional to 46,774, 70,117.26 and 17,183.89 is: 25,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,774 : 70,117.26 = 17,183.89 : x
  2. Step 2: Convert to fraction form
    46,774/70,117.26 = 17,183.89/x
  3. Step 3: Cross multiply
    46,774x = 70,117.26 × 17,183.89
  4. Step 4: Simplify right side
    46,774x = 1,204,887,282.94
  5. Step 5: Solve for x
    x = 1,204,887,282.94/46,774
  6. Step 6: Final answer
    x = 25,759.77

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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.