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Finding the Fourth Proportional to 106,571.64, 159,857.46 and 53,996.16

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Solution

The fourth proportional to 106,571.64, 159,857.46 and 53,996.16 is: 80,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,571.64 : 159,857.46 = 53,996.16 : x
  2. Step 2: Convert to fraction form
    106,571.64/159,857.46 = 53,996.16/x
  3. Step 3: Cross multiply
    106,571.64x = 159,857.46 × 53,996.16
  4. Step 4: Simplify right side
    106,571.64x = 8,631,688,987.35
  5. Step 5: Solve for x
    x = 8,631,688,987.35/106,571.64
  6. Step 6: Final answer
    x = 80,994.24

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Similar ratio
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1.5x scale

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.