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Finding the Fourth Proportional to 36,802.25, 55,203.38 and 11,844.25

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Solution

The fourth proportional to 36,802.25, 55,203.38 and 11,844.25 is: 17,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.25 : 55,203.38 = 11,844.25 : x
  2. Step 2: Convert to fraction form
    36,802.25/55,203.38 = 11,844.25/x
  3. Step 3: Cross multiply
    36,802.25x = 55,203.38 × 11,844.25
  4. Step 4: Simplify right side
    36,802.25x = 653,842,633.57
  5. Step 5: Solve for x
    x = 653,842,633.57/36,802.25
  6. Step 6: Final answer
    x = 17,766.38

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1.5x scale

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.