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Finding the Fourth Proportional to 53,123.26, 79,578.02 and 24,620.26

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Solution

The fourth proportional to 53,123.26, 79,578.02 and 24,620.26 is: 36,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,123.26 : 79,578.02 = 24,620.26 : x
  2. Step 2: Convert to fraction form
    53,123.26/79,578.02 = 24,620.26/x
  3. Step 3: Cross multiply
    53,123.26x = 79,578.02 × 24,620.26
  4. Step 4: Simplify right side
    53,123.26x = 1,959,231,542.69
  5. Step 5: Solve for x
    x = 1,959,231,542.69/53,123.26
  6. Step 6: Final answer
    x = 36,880.86

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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.