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Finding the Fourth Proportional to 110,334, 165,549.60 and 36,462

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Solution

The fourth proportional to 110,334, 165,549.60 and 36,462 is: 54,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,334 : 165,549.60 = 36,462 : x
  2. Step 2: Convert to fraction form
    110,334/165,549.60 = 36,462/x
  3. Step 3: Cross multiply
    110,334x = 165,549.60 × 36,462
  4. Step 4: Simplify right side
    110,334x = 6,036,269,515.20
  5. Step 5: Solve for x
    x = 6,036,269,515.20/110,334
  6. Step 6: Final answer
    x = 54,709.06

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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.