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Finding the Fourth Proportional to 32,495.24, 48,745.44 and 12,514.40

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Solution

The fourth proportional to 32,495.24, 48,745.44 and 12,514.40 is: 18,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.24 : 48,745.44 = 12,514.40 : x
  2. Step 2: Convert to fraction form
    32,495.24/48,745.44 = 12,514.40/x
  3. Step 3: Cross multiply
    32,495.24x = 48,745.44 × 12,514.40
  4. Step 4: Simplify right side
    32,495.24x = 610,019,934.34
  5. Step 5: Solve for x
    x = 610,019,934.34/32,495.24
  6. Step 6: Final answer
    x = 18,772.59

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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.