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Finding the Fourth Proportional to 53,854, 74,320.23 and 33,704.44

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Solution

The fourth proportional to 53,854, 74,320.23 and 33,704.44 is: 46,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854 : 74,320.23 = 33,704.44 : x
  2. Step 2: Convert to fraction form
    53,854/74,320.23 = 33,704.44/x
  3. Step 3: Cross multiply
    53,854x = 74,320.23 × 33,704.44
  4. Step 4: Simplify right side
    53,854x = 2,504,921,732.82
  5. Step 5: Solve for x
    x = 2,504,921,732.82/53,854
  6. Step 6: Final answer
    x = 46,513.20

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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.