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Finding the Fourth Proportional to 35,926.63, 49,579.99 and 20,819.32

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Solution

The fourth proportional to 35,926.63, 49,579.99 and 20,819.32 is: 28,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,926.63 : 49,579.99 = 20,819.32 : x
  2. Step 2: Convert to fraction form
    35,926.63/49,579.99 = 20,819.32/x
  3. Step 3: Cross multiply
    35,926.63x = 49,579.99 × 20,819.32
  4. Step 4: Simplify right side
    35,926.63x = 1,032,221,838.85
  5. Step 5: Solve for x
    x = 1,032,221,838.85/35,926.63
  6. Step 6: Final answer
    x = 28,731.38

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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.