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Finding the Fourth Proportional to 122,751.47, 184,127.22 and 38,524.63

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Solution

The fourth proportional to 122,751.47, 184,127.22 and 38,524.63 is: 57,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,751.47 : 184,127.22 = 38,524.63 : x
  2. Step 2: Convert to fraction form
    122,751.47/184,127.22 = 38,524.63/x
  3. Step 3: Cross multiply
    122,751.47x = 184,127.22 × 38,524.63
  4. Step 4: Simplify right side
    122,751.47x = 7,093,433,023.43
  5. Step 5: Solve for x
    x = 7,093,433,023.43/122,751.47
  6. Step 6: Final answer
    x = 57,786.95

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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.