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Finding the Fourth Proportional to 30,797.69, 46,196.60 and 10,021.19

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Solution

The fourth proportional to 30,797.69, 46,196.60 and 10,021.19 is: 15,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.69 : 46,196.60 = 10,021.19 : x
  2. Step 2: Convert to fraction form
    30,797.69/46,196.60 = 10,021.19/x
  3. Step 3: Cross multiply
    30,797.69x = 46,196.60 × 10,021.19
  4. Step 4: Simplify right side
    30,797.69x = 462,944,624.87
  5. Step 5: Solve for x
    x = 462,944,624.87/30,797.69
  6. Step 6: Final answer
    x = 15,031.80

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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.