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Finding the Fourth Proportional to 54,716.91, 75,509.38 and 29,566.41

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Solution

The fourth proportional to 54,716.91, 75,509.38 and 29,566.41 is: 40,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716.91 : 75,509.38 = 29,566.41 : x
  2. Step 2: Convert to fraction form
    54,716.91/75,509.38 = 29,566.41/x
  3. Step 3: Cross multiply
    54,716.91x = 75,509.38 × 29,566.41
  4. Step 4: Simplify right side
    54,716.91x = 2,232,541,287.93
  5. Step 5: Solve for x
    x = 2,232,541,287.93/54,716.91
  6. Step 6: Final answer
    x = 40,801.67

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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.