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Finding the Fourth Proportional to 24,742.94, 37,120.47 and 8,103.86

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Solution

The fourth proportional to 24,742.94, 37,120.47 and 8,103.86 is: 12,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.94 : 37,120.47 = 8,103.86 : x
  2. Step 2: Convert to fraction form
    24,742.94/37,120.47 = 8,103.86/x
  3. Step 3: Cross multiply
    24,742.94x = 37,120.47 × 8,103.86
  4. Step 4: Simplify right side
    24,742.94x = 300,819,092.01
  5. Step 5: Solve for x
    x = 300,819,092.01/24,742.94
  6. Step 6: Final answer
    x = 12,157.77

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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.