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Finding the Fourth Proportional to 51,734.72, 71,395.35 and 29,075.78

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Solution

The fourth proportional to 51,734.72, 71,395.35 and 29,075.78 is: 40,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.72 : 71,395.35 = 29,075.78 : x
  2. Step 2: Convert to fraction form
    51,734.72/71,395.35 = 29,075.78/x
  3. Step 3: Cross multiply
    51,734.72x = 71,395.35 × 29,075.78
  4. Step 4: Simplify right side
    51,734.72x = 2,075,875,540.45
  5. Step 5: Solve for x
    x = 2,075,875,540.45/51,734.72
  6. Step 6: Final answer
    x = 40,125.38

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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.