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Finding the Fourth Proportional to 54,756.27, 75,563.64 and 30,882.89

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Solution

The fourth proportional to 54,756.27, 75,563.64 and 30,882.89 is: 42,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756.27 : 75,563.64 = 30,882.89 : x
  2. Step 2: Convert to fraction form
    54,756.27/75,563.64 = 30,882.89/x
  3. Step 3: Cross multiply
    54,756.27x = 75,563.64 × 30,882.89
  4. Step 4: Simplify right side
    54,756.27x = 2,333,623,771.03
  5. Step 5: Solve for x
    x = 2,333,623,771.03/54,756.27
  6. Step 6: Final answer
    x = 42,618.38

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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.