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Finding the Fourth Proportional to 80,051.17, 120,076.74 and 30,142.45

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Solution

The fourth proportional to 80,051.17, 120,076.74 and 30,142.45 is: 45,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,051.17 : 120,076.74 = 30,142.45 : x
  2. Step 2: Convert to fraction form
    80,051.17/120,076.74 = 30,142.45/x
  3. Step 3: Cross multiply
    80,051.17x = 120,076.74 × 30,142.45
  4. Step 4: Simplify right side
    80,051.17x = 3,619,407,131.61
  5. Step 5: Solve for x
    x = 3,619,407,131.61/80,051.17
  6. Step 6: Final answer
    x = 45,213.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.