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Finding the Fourth Proportional to 75,470.94, 113,186.97 and 22,866.30

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Solution

The fourth proportional to 75,470.94, 113,186.97 and 22,866.30 is: 34,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,470.94 : 113,186.97 = 22,866.30 : x
  2. Step 2: Convert to fraction form
    75,470.94/113,186.97 = 22,866.30/x
  3. Step 3: Cross multiply
    75,470.94x = 113,186.97 × 22,866.30
  4. Step 4: Simplify right side
    75,470.94x = 2,588,167,212.11
  5. Step 5: Solve for x
    x = 2,588,167,212.11/75,470.94
  6. Step 6: Final answer
    x = 34,293.56

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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.