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Finding the Fourth Proportional to 36,342.92, 54,522.06 and 11,717

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Solution

The fourth proportional to 36,342.92, 54,522.06 and 11,717 is: 17,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342.92 : 54,522.06 = 11,717 : x
  2. Step 2: Convert to fraction form
    36,342.92/54,522.06 = 11,717/x
  3. Step 3: Cross multiply
    36,342.92x = 54,522.06 × 11,717
  4. Step 4: Simplify right side
    36,342.92x = 638,834,977.02
  5. Step 5: Solve for x
    x = 638,834,977.02/36,342.92
  6. Step 6: Final answer
    x = 17,577.98

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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.