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Finding the Fourth Proportional to 82,014.68, 122,743.08 and 50,408.12

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Solution

The fourth proportional to 82,014.68, 122,743.08 and 50,408.12 is: 75,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.68 : 122,743.08 = 50,408.12 : x
  2. Step 2: Convert to fraction form
    82,014.68/122,743.08 = 50,408.12/x
  3. Step 3: Cross multiply
    82,014.68x = 122,743.08 × 50,408.12
  4. Step 4: Simplify right side
    82,014.68x = 6,187,247,905.81
  5. Step 5: Solve for x
    x = 6,187,247,905.81/82,014.68
  6. Step 6: Final answer
    x = 75,440.74

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1.5x scale

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.