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Finding the Fourth Proportional to 32,514.68, 48,762.40 and 13,794.48

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Solution

The fourth proportional to 32,514.68, 48,762.40 and 13,794.48 is: 20,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514.68 : 48,762.40 = 13,794.48 : x
  2. Step 2: Convert to fraction form
    32,514.68/48,762.40 = 13,794.48/x
  3. Step 3: Cross multiply
    32,514.68x = 48,762.40 × 13,794.48
  4. Step 4: Simplify right side
    32,514.68x = 672,651,951.55
  5. Step 5: Solve for x
    x = 672,651,951.55/32,514.68
  6. Step 6: Final answer
    x = 20,687.64

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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.