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Finding the Fourth Proportional to 32,115.60, 48,181.80 and 12,394.80

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Solution

The fourth proportional to 32,115.60, 48,181.80 and 12,394.80 is: 18,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.60 : 48,181.80 = 12,394.80 : x
  2. Step 2: Convert to fraction form
    32,115.60/48,181.80 = 12,394.80/x
  3. Step 3: Cross multiply
    32,115.60x = 48,181.80 × 12,394.80
  4. Step 4: Simplify right side
    32,115.60x = 597,203,774.64
  5. Step 5: Solve for x
    x = 597,203,774.64/32,115.60
  6. Step 6: Final answer
    x = 18,595.44

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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.