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Finding the Fourth Proportional to 35,872.80, 53,816.40 and 10,914.40

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Solution

The fourth proportional to 35,872.80, 53,816.40 and 10,914.40 is: 16,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.80 : 53,816.40 = 10,914.40 : x
  2. Step 2: Convert to fraction form
    35,872.80/53,816.40 = 10,914.40/x
  3. Step 3: Cross multiply
    35,872.80x = 53,816.40 × 10,914.40
  4. Step 4: Simplify right side
    35,872.80x = 587,373,716.16
  5. Step 5: Solve for x
    x = 587,373,716.16/35,872.80
  6. Step 6: Final answer
    x = 16,373.79

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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.