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Finding the Fourth Proportional to 52,957.89, 73,083.17 and 29,085.08

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Solution

The fourth proportional to 52,957.89, 73,083.17 and 29,085.08 is: 40,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.89 : 73,083.17 = 29,085.08 : x
  2. Step 2: Convert to fraction form
    52,957.89/73,083.17 = 29,085.08/x
  3. Step 3: Cross multiply
    52,957.89x = 73,083.17 × 29,085.08
  4. Step 4: Simplify right side
    52,957.89x = 2,125,629,335.26
  5. Step 5: Solve for x
    x = 2,125,629,335.26/52,957.89
  6. Step 6: Final answer
    x = 40,138.10

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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.