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Finding the Fourth Proportional to 36,686.75, 55,030.26 and 8,984.75

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Solution

The fourth proportional to 36,686.75, 55,030.26 and 8,984.75 is: 13,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,686.75 : 55,030.26 = 8,984.75 : x
  2. Step 2: Convert to fraction form
    36,686.75/55,030.26 = 8,984.75/x
  3. Step 3: Cross multiply
    36,686.75x = 55,030.26 × 8,984.75
  4. Step 4: Simplify right side
    36,686.75x = 494,433,128.54
  5. Step 5: Solve for x
    x = 494,433,128.54/36,686.75
  6. Step 6: Final answer
    x = 13,477.16

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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.