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Finding the Fourth Proportional to 30,845.00, 46,205.84 and 14,182.20

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Solution

The fourth proportional to 30,845.00, 46,205.84 and 14,182.20 is: 21,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.00 : 46,205.84 = 14,182.20 : x
  2. Step 2: Convert to fraction form
    30,845.00/46,205.84 = 14,182.20/x
  3. Step 3: Cross multiply
    30,845.00x = 46,205.84 × 14,182.20
  4. Step 4: Simplify right side
    30,845.00x = 655,300,499.50
  5. Step 5: Solve for x
    x = 655,300,499.50/30,845.00
  6. Step 6: Final answer
    x = 21,244.95

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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.