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Finding the Fourth Proportional to 36,867, 55,300.70 and 9,165

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Solution

The fourth proportional to 36,867, 55,300.70 and 9,165 is: 13,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867 : 55,300.70 = 9,165 : x
  2. Step 2: Convert to fraction form
    36,867/55,300.70 = 9,165/x
  3. Step 3: Cross multiply
    36,867x = 55,300.70 × 9,165
  4. Step 4: Simplify right side
    36,867x = 506,830,938.41
  5. Step 5: Solve for x
    x = 506,830,938.41/36,867
  6. Step 6: Final answer
    x = 13,747.55

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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.