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Finding the Fourth Proportional to 35,141.20, 52,711.80 and 32,954.20

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Solution

The fourth proportional to 35,141.20, 52,711.80 and 32,954.20 is: 49,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.20 : 52,711.80 = 32,954.20 : x
  2. Step 2: Convert to fraction form
    35,141.20/52,711.80 = 32,954.20/x
  3. Step 3: Cross multiply
    35,141.20x = 52,711.80 × 32,954.20
  4. Step 4: Simplify right side
    35,141.20x = 1,737,075,199.56
  5. Step 5: Solve for x
    x = 1,737,075,199.56/35,141.20
  6. Step 6: Final answer
    x = 49,431.30

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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.