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Finding the Fourth Proportional to 32,206.32, 48,303.84 and 8,514.09

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Solution

The fourth proportional to 32,206.32, 48,303.84 and 8,514.09 is: 12,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.32 : 48,303.84 = 8,514.09 : x
  2. Step 2: Convert to fraction form
    32,206.32/48,303.84 = 8,514.09/x
  3. Step 3: Cross multiply
    32,206.32x = 48,303.84 × 8,514.09
  4. Step 4: Simplify right side
    32,206.32x = 411,263,241.11
  5. Step 5: Solve for x
    x = 411,263,241.11/32,206.32
  6. Step 6: Final answer
    x = 12,769.64

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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.