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Finding the Fourth Proportional to 36,266.76, 54,388.62 and 11,637

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Solution

The fourth proportional to 36,266.76, 54,388.62 and 11,637 is: 17,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266.76 : 54,388.62 = 11,637 : x
  2. Step 2: Convert to fraction form
    36,266.76/54,388.62 = 11,637/x
  3. Step 3: Cross multiply
    36,266.76x = 54,388.62 × 11,637
  4. Step 4: Simplify right side
    36,266.76x = 632,920,370.94
  5. Step 5: Solve for x
    x = 632,920,370.94/36,266.76
  6. Step 6: Final answer
    x = 17,451.80

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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.