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Finding the Fourth Proportional to 74,834, 112,269.50 and 22,243.27

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Solution

The fourth proportional to 74,834, 112,269.50 and 22,243.27 is: 33,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,834 : 112,269.50 = 22,243.27 : x
  2. Step 2: Convert to fraction form
    74,834/112,269.50 = 22,243.27/x
  3. Step 3: Cross multiply
    74,834x = 112,269.50 × 22,243.27
  4. Step 4: Simplify right side
    74,834x = 2,497,240,801.27
  5. Step 5: Solve for x
    x = 2,497,240,801.27/74,834
  6. Step 6: Final answer
    x = 33,370.40

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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.