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Finding the Fourth Proportional to 72,408.68, 108,613.14 and 19,814.24

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Solution

The fourth proportional to 72,408.68, 108,613.14 and 19,814.24 is: 29,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408.68 : 108,613.14 = 19,814.24 : x
  2. Step 2: Convert to fraction form
    72,408.68/108,613.14 = 19,814.24/x
  3. Step 3: Cross multiply
    72,408.68x = 108,613.14 × 19,814.24
  4. Step 4: Simplify right side
    72,408.68x = 2,152,086,823.11
  5. Step 5: Solve for x
    x = 2,152,086,823.11/72,408.68
  6. Step 6: Final answer
    x = 29,721.39

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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.