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Finding the Fourth Proportional to 53,766.44, 74,197.51 and 29,893.10

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Solution

The fourth proportional to 53,766.44, 74,197.51 and 29,893.10 is: 41,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,766.44 : 74,197.51 = 29,893.10 : x
  2. Step 2: Convert to fraction form
    53,766.44/74,197.51 = 29,893.10/x
  3. Step 3: Cross multiply
    53,766.44x = 74,197.51 × 29,893.10
  4. Step 4: Simplify right side
    53,766.44x = 2,217,993,696.94
  5. Step 5: Solve for x
    x = 2,217,993,696.94/53,766.44
  6. Step 6: Final answer
    x = 41,252.39

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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.