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Finding the Fourth Proportional to 54,866.83, 75,715.32 and 30,668.37

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Solution

The fourth proportional to 54,866.83, 75,715.32 and 30,668.37 is: 42,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.83 : 75,715.32 = 30,668.37 : x
  2. Step 2: Convert to fraction form
    54,866.83/75,715.32 = 30,668.37/x
  3. Step 3: Cross multiply
    54,866.83x = 75,715.32 × 30,668.37
  4. Step 4: Simplify right side
    54,866.83x = 2,322,065,448.43
  5. Step 5: Solve for x
    x = 2,322,065,448.43/54,866.83
  6. Step 6: Final answer
    x = 42,321.84

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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.