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Finding the Fourth Proportional to 36,802.49, 55,203.59 and 9,100.49

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Solution

The fourth proportional to 36,802.49, 55,203.59 and 9,100.49 is: 13,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.49 : 55,203.59 = 9,100.49 : x
  2. Step 2: Convert to fraction form
    36,802.49/55,203.59 = 9,100.49/x
  3. Step 3: Cross multiply
    36,802.49x = 55,203.59 × 9,100.49
  4. Step 4: Simplify right side
    36,802.49x = 502,379,465.49
  5. Step 5: Solve for x
    x = 502,379,465.49/36,802.49
  6. Step 6: Final answer
    x = 13,650.69

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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.