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Finding the Fourth Proportional to 27,535.50, 41,303.37 and 11,119.50

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Solution

The fourth proportional to 27,535.50, 41,303.37 and 11,119.50 is: 16,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.50 : 41,303.37 = 11,119.50 : x
  2. Step 2: Convert to fraction form
    27,535.50/41,303.37 = 11,119.50/x
  3. Step 3: Cross multiply
    27,535.50x = 41,303.37 × 11,119.50
  4. Step 4: Simplify right side
    27,535.50x = 459,272,822.72
  5. Step 5: Solve for x
    x = 459,272,822.72/27,535.50
  6. Step 6: Final answer
    x = 16,679.30

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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.