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Finding the Fourth Proportional to 36,705.48, 55,058.26 and 9,003.48

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Solution

The fourth proportional to 36,705.48, 55,058.26 and 9,003.48 is: 13,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705.48 : 55,058.26 = 9,003.48 : x
  2. Step 2: Convert to fraction form
    36,705.48/55,058.26 = 9,003.48/x
  3. Step 3: Cross multiply
    36,705.48x = 55,058.26 × 9,003.48
  4. Step 4: Simplify right side
    36,705.48x = 495,715,942.74
  5. Step 5: Solve for x
    x = 495,715,942.74/36,705.48
  6. Step 6: Final answer
    x = 13,505.23

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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.