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Finding the Fourth Proportional to 109,433.53, 164,150.35 and 26,327.53

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Solution

The fourth proportional to 109,433.53, 164,150.35 and 26,327.53 is: 39,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,433.53 : 164,150.35 = 26,327.53 : x
  2. Step 2: Convert to fraction form
    109,433.53/164,150.35 = 26,327.53/x
  3. Step 3: Cross multiply
    109,433.53x = 164,150.35 × 26,327.53
  4. Step 4: Simplify right side
    109,433.53x = 4,321,673,403.50
  5. Step 5: Solve for x
    x = 4,321,673,403.50/109,433.53
  6. Step 6: Final answer
    x = 39,491.31

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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.