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Finding the Fourth Proportional to 52,083, 71,884.26 and 29,727

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Solution

The fourth proportional to 52,083, 71,884.26 and 29,727 is: 41,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083 : 71,884.26 = 29,727 : x
  2. Step 2: Convert to fraction form
    52,083/71,884.26 = 29,727/x
  3. Step 3: Cross multiply
    52,083x = 71,884.26 × 29,727
  4. Step 4: Simplify right side
    52,083x = 2,136,903,397.02
  5. Step 5: Solve for x
    x = 2,136,903,397.02/52,083
  6. Step 6: Final answer
    x = 41,028.81

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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.