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Finding the Fourth Proportional to 52,912.10, 73,020.80 and 29,039.64

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Solution

The fourth proportional to 52,912.10, 73,020.80 and 29,039.64 is: 40,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,912.10 : 73,020.80 = 29,039.64 : x
  2. Step 2: Convert to fraction form
    52,912.10/73,020.80 = 29,039.64/x
  3. Step 3: Cross multiply
    52,912.10x = 73,020.80 × 29,039.64
  4. Step 4: Simplify right side
    52,912.10x = 2,120,497,744.51
  5. Step 5: Solve for x
    x = 2,120,497,744.51/52,912.10
  6. Step 6: Final answer
    x = 40,075.86

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Why These Related Problems?

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