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Finding the Fourth Proportional to 60,144, 82,991.79 and 33,282.78

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Solution

The fourth proportional to 60,144, 82,991.79 and 33,282.78 is: 45,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,144 : 82,991.79 = 33,282.78 : x
  2. Step 2: Convert to fraction form
    60,144/82,991.79 = 33,282.78/x
  3. Step 3: Cross multiply
    60,144x = 82,991.79 × 33,282.78
  4. Step 4: Simplify right side
    60,144x = 2,762,197,488.38
  5. Step 5: Solve for x
    x = 2,762,197,488.38/60,144
  6. Step 6: Final answer
    x = 45,926.40

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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.