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Finding the Fourth Proportional to 51,734.38, 71,393.08 and 29,072.89

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Solution

The fourth proportional to 51,734.38, 71,393.08 and 29,072.89 is: 40,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.38 : 71,393.08 = 29,072.89 : x
  2. Step 2: Convert to fraction form
    51,734.38/71,393.08 = 29,072.89/x
  3. Step 3: Cross multiply
    51,734.38x = 71,393.08 × 29,072.89
  4. Step 4: Simplify right side
    51,734.38x = 2,075,602,808.83
  5. Step 5: Solve for x
    x = 2,075,602,808.83/51,734.38
  6. Step 6: Final answer
    x = 40,120.37

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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.