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Finding the Fourth Proportional to 46,469.70, 69,673.77 and 16,884.05

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Solution

The fourth proportional to 46,469.70, 69,673.77 and 16,884.05 is: 25,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.70 : 69,673.77 = 16,884.05 : x
  2. Step 2: Convert to fraction form
    46,469.70/69,673.77 = 16,884.05/x
  3. Step 3: Cross multiply
    46,469.70x = 69,673.77 × 16,884.05
  4. Step 4: Simplify right side
    46,469.70x = 1,176,375,068.00
  5. Step 5: Solve for x
    x = 1,176,375,068.00/46,469.70
  6. Step 6: Final answer
    x = 25,314.88

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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.