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Finding the Fourth Proportional to 53,838, 74,323.38 and 41,711.44

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Solution

The fourth proportional to 53,838, 74,323.38 and 41,711.44 is: 57,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 74,323.38 = 41,711.44 : x
  2. Step 2: Convert to fraction form
    53,838/74,323.38 = 41,711.44/x
  3. Step 3: Cross multiply
    53,838x = 74,323.38 × 41,711.44
  4. Step 4: Simplify right side
    53,838x = 3,100,135,205.47
  5. Step 5: Solve for x
    x = 3,100,135,205.47/53,838
  6. Step 6: Final answer
    x = 57,582.66

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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.