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Finding the Fourth Proportional to 29,185.44, 43,782.48 and 10,716

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Solution

The fourth proportional to 29,185.44, 43,782.48 and 10,716 is: 16,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185.44 : 43,782.48 = 10,716 : x
  2. Step 2: Convert to fraction form
    29,185.44/43,782.48 = 10,716/x
  3. Step 3: Cross multiply
    29,185.44x = 43,782.48 × 10,716
  4. Step 4: Simplify right side
    29,185.44x = 469,173,055.68
  5. Step 5: Solve for x
    x = 469,173,055.68/29,185.44
  6. Step 6: Final answer
    x = 16,075.59

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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.