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Finding the Fourth Proportional to 36,907, 50,931.66 and 22,003

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Solution

The fourth proportional to 36,907, 50,931.66 and 22,003 is: 30,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907 : 50,931.66 = 22,003 : x
  2. Step 2: Convert to fraction form
    36,907/50,931.66 = 22,003/x
  3. Step 3: Cross multiply
    36,907x = 50,931.66 × 22,003
  4. Step 4: Simplify right side
    36,907x = 1,120,649,314.98
  5. Step 5: Solve for x
    x = 1,120,649,314.98/36,907
  6. Step 6: Final answer
    x = 30,364.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.