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Finding the Fourth Proportional to 32,514.30, 48,776.58 and 13,794.39

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Solution

The fourth proportional to 32,514.30, 48,776.58 and 13,794.39 is: 20,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514.30 : 48,776.58 = 13,794.39 : x
  2. Step 2: Convert to fraction form
    32,514.30/48,776.58 = 13,794.39/x
  3. Step 3: Cross multiply
    32,514.30x = 48,776.58 × 13,794.39
  4. Step 4: Simplify right side
    32,514.30x = 672,843,167.39
  5. Step 5: Solve for x
    x = 672,843,167.39/32,514.30
  6. Step 6: Final answer
    x = 20,693.76

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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.