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Finding the Fourth Proportional to 54,882.74, 82,322.82 and 25,300.58

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Solution

The fourth proportional to 54,882.74, 82,322.82 and 25,300.58 is: 37,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.74 : 82,322.82 = 25,300.58 : x
  2. Step 2: Convert to fraction form
    54,882.74/82,322.82 = 25,300.58/x
  3. Step 3: Cross multiply
    54,882.74x = 82,322.82 × 25,300.58
  4. Step 4: Simplify right side
    54,882.74x = 2,082,814,681.62
  5. Step 5: Solve for x
    x = 2,082,814,681.62/54,882.74
  6. Step 6: Final answer
    x = 37,950.27

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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.