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Finding the Fourth Proportional to 56,098.53, 84,083.16 and 22,782

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Solution

The fourth proportional to 56,098.53, 84,083.16 and 22,782 is: 34,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098.53 : 84,083.16 = 22,782 : x
  2. Step 2: Convert to fraction form
    56,098.53/84,083.16 = 22,782/x
  3. Step 3: Cross multiply
    56,098.53x = 84,083.16 × 22,782
  4. Step 4: Simplify right side
    56,098.53x = 1,915,582,551.12
  5. Step 5: Solve for x
    x = 1,915,582,551.12/56,098.53
  6. Step 6: Final answer
    x = 34,146.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.