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Finding the Fourth Proportional to 30,758.10, 46,101.30 and 14,119.89

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Solution

The fourth proportional to 30,758.10, 46,101.30 and 14,119.89 is: 21,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.10 : 46,101.30 = 14,119.89 : x
  2. Step 2: Convert to fraction form
    30,758.10/46,101.30 = 14,119.89/x
  3. Step 3: Cross multiply
    30,758.10x = 46,101.30 × 14,119.89
  4. Step 4: Simplify right side
    30,758.10x = 650,945,284.86
  5. Step 5: Solve for x
    x = 650,945,284.86/30,758.10
  6. Step 6: Final answer
    x = 21,163.38

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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.