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Finding the Fourth Proportional to 36,297.63, 54,454.14 and 12,924

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Solution

The fourth proportional to 36,297.63, 54,454.14 and 12,924 is: 19,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,297.63 : 54,454.14 = 12,924 : x
  2. Step 2: Convert to fraction form
    36,297.63/54,454.14 = 12,924/x
  3. Step 3: Cross multiply
    36,297.63x = 54,454.14 × 12,924
  4. Step 4: Simplify right side
    36,297.63x = 703,765,305.36
  5. Step 5: Solve for x
    x = 703,765,305.36/36,297.63
  6. Step 6: Final answer
    x = 19,388.74

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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.