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Finding the Fourth Proportional to 83,183.76, 114,792.84 and 46,896.84

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Solution

The fourth proportional to 83,183.76, 114,792.84 and 46,896.84 is: 64,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,183.76 : 114,792.84 = 46,896.84 : x
  2. Step 2: Convert to fraction form
    83,183.76/114,792.84 = 46,896.84/x
  3. Step 3: Cross multiply
    83,183.76x = 114,792.84 × 46,896.84
  4. Step 4: Simplify right side
    83,183.76x = 5,383,421,450.63
  5. Step 5: Solve for x
    x = 5,383,421,450.63/83,183.76
  6. Step 6: Final answer
    x = 64,717.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.