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Finding the Fourth Proportional to 32,027.94, 48,034.62 and 8,656.20

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Solution

The fourth proportional to 32,027.94, 48,034.62 and 8,656.20 is: 12,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.94 : 48,034.62 = 8,656.20 : x
  2. Step 2: Convert to fraction form
    32,027.94/48,034.62 = 8,656.20/x
  3. Step 3: Cross multiply
    32,027.94x = 48,034.62 × 8,656.20
  4. Step 4: Simplify right side
    32,027.94x = 415,797,277.64
  5. Step 5: Solve for x
    x = 415,797,277.64/32,027.94
  6. Step 6: Final answer
    x = 12,982.33

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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.