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Finding the Fourth Proportional to 30,884.68, 46,326.57 and 9,826.00

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Solution

The fourth proportional to 30,884.68, 46,326.57 and 9,826.00 is: 14,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.68 : 46,326.57 = 9,826.00 : x
  2. Step 2: Convert to fraction form
    30,884.68/46,326.57 = 9,826.00/x
  3. Step 3: Cross multiply
    30,884.68x = 46,326.57 × 9,826.00
  4. Step 4: Simplify right side
    30,884.68x = 455,204,596.06
  5. Step 5: Solve for x
    x = 455,204,596.06/30,884.68
  6. Step 6: Final answer
    x = 14,738.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.