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Finding the Fourth Proportional to 35,529.10, 49,028.49 and 20,411.12

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Solution

The fourth proportional to 35,529.10, 49,028.49 and 20,411.12 is: 28,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529.10 : 49,028.49 = 20,411.12 : x
  2. Step 2: Convert to fraction form
    35,529.10/49,028.49 = 20,411.12/x
  3. Step 3: Cross multiply
    35,529.10x = 49,028.49 × 20,411.12
  4. Step 4: Simplify right side
    35,529.10x = 1,000,726,515.38
  5. Step 5: Solve for x
    x = 1,000,726,515.38/35,529.10
  6. Step 6: Final answer
    x = 28,166.39

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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.