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Finding the Fourth Proportional to 83,395.41, 114,971.27 and 52,753.26

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Solution

The fourth proportional to 83,395.41, 114,971.27 and 52,753.26 is: 72,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,395.41 : 114,971.27 = 52,753.26 : x
  2. Step 2: Convert to fraction form
    83,395.41/114,971.27 = 52,753.26/x
  3. Step 3: Cross multiply
    83,395.41x = 114,971.27 × 52,753.26
  4. Step 4: Simplify right side
    83,395.41x = 6,065,109,520.33
  5. Step 5: Solve for x
    x = 6,065,109,520.33/83,395.41
  6. Step 6: Final answer
    x = 72,727.14

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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.