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Finding the Fourth Proportional to 80,148.96, 120,238.56 and 24,732

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Solution

The fourth proportional to 80,148.96, 120,238.56 and 24,732 is: 37,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148.96 : 120,238.56 = 24,732 : x
  2. Step 2: Convert to fraction form
    80,148.96/120,238.56 = 24,732/x
  3. Step 3: Cross multiply
    80,148.96x = 120,238.56 × 24,732
  4. Step 4: Simplify right side
    80,148.96x = 2,973,740,065.92
  5. Step 5: Solve for x
    x = 2,973,740,065.92/80,148.96
  6. Step 6: Final answer
    x = 37,102.67

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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.