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Finding the Fourth Proportional to 30,738.40, 46,078.08 and 19,613.68

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Solution

The fourth proportional to 30,738.40, 46,078.08 and 19,613.68 is: 29,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.40 : 46,078.08 = 19,613.68 : x
  2. Step 2: Convert to fraction form
    30,738.40/46,078.08 = 19,613.68/x
  3. Step 3: Cross multiply
    30,738.40x = 46,078.08 × 19,613.68
  4. Step 4: Simplify right side
    30,738.40x = 903,760,716.13
  5. Step 5: Solve for x
    x = 903,760,716.13/30,738.40
  6. Step 6: Final answer
    x = 29,401.68

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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.