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Finding the Fourth Proportional to 75,662.69, 113,499.36 and 22,354.02

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Solution

The fourth proportional to 75,662.69, 113,499.36 and 22,354.02 is: 33,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,662.69 : 113,499.36 = 22,354.02 : x
  2. Step 2: Convert to fraction form
    75,662.69/113,499.36 = 22,354.02/x
  3. Step 3: Cross multiply
    75,662.69x = 113,499.36 × 22,354.02
  4. Step 4: Simplify right side
    75,662.69x = 2,537,166,963.43
  5. Step 5: Solve for x
    x = 2,537,166,963.43/75,662.69
  6. Step 6: Final answer
    x = 33,532.61

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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.