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Finding the Fourth Proportional to 51,536.25, 71,120.03 and 29,180.25

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Solution

The fourth proportional to 51,536.25, 71,120.03 and 29,180.25 is: 40,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,536.25 : 71,120.03 = 29,180.25 : x
  2. Step 2: Convert to fraction form
    51,536.25/71,120.03 = 29,180.25/x
  3. Step 3: Cross multiply
    51,536.25x = 71,120.03 × 29,180.25
  4. Step 4: Simplify right side
    51,536.25x = 2,075,300,109.51
  5. Step 5: Solve for x
    x = 2,075,300,109.51/51,536.25
  6. Step 6: Final answer
    x = 40,268.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.