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Finding the Fourth Proportional to 122,954.44, 184,308.54 and 47,971.42

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Solution

The fourth proportional to 122,954.44, 184,308.54 and 47,971.42 is: 71,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,954.44 : 184,308.54 = 47,971.42 : x
  2. Step 2: Convert to fraction form
    122,954.44/184,308.54 = 47,971.42/x
  3. Step 3: Cross multiply
    122,954.44x = 184,308.54 × 47,971.42
  4. Step 4: Simplify right side
    122,954.44x = 8,841,542,432.42
  5. Step 5: Solve for x
    x = 8,841,542,432.42/122,954.44
  6. Step 6: Final answer
    x = 71,909.10

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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.