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Finding the Fourth Proportional to 46,514.80, 69,771.64 and 11,454.80

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Solution

The fourth proportional to 46,514.80, 69,771.64 and 11,454.80 is: 17,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,514.80 : 69,771.64 = 11,454.80 : x
  2. Step 2: Convert to fraction form
    46,514.80/69,771.64 = 11,454.80/x
  3. Step 3: Cross multiply
    46,514.80x = 69,771.64 × 11,454.80
  4. Step 4: Simplify right side
    46,514.80x = 799,220,181.87
  5. Step 5: Solve for x
    x = 799,220,181.87/46,514.80
  6. Step 6: Final answer
    x = 17,182.06

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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.