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Finding the Fourth Proportional to 43,843.84, 65,783.04 and 16,144

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Solution

The fourth proportional to 43,843.84, 65,783.04 and 16,144 is: 24,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,843.84 : 65,783.04 = 16,144 : x
  2. Step 2: Convert to fraction form
    43,843.84/65,783.04 = 16,144/x
  3. Step 3: Cross multiply
    43,843.84x = 65,783.04 × 16,144
  4. Step 4: Simplify right side
    43,843.84x = 1,062,001,397.76
  5. Step 5: Solve for x
    x = 1,062,001,397.76/43,843.84
  6. Step 6: Final answer
    x = 24,222.36

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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.