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Finding the Fourth Proportional to 35,736.53, 49,308.48 and 20,628.23

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Solution

The fourth proportional to 35,736.53, 49,308.48 and 20,628.23 is: 28,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.53 : 49,308.48 = 20,628.23 : x
  2. Step 2: Convert to fraction form
    35,736.53/49,308.48 = 20,628.23/x
  3. Step 3: Cross multiply
    35,736.53x = 49,308.48 × 20,628.23
  4. Step 4: Simplify right side
    35,736.53x = 1,017,146,419.85
  5. Step 5: Solve for x
    x = 1,017,146,419.85/35,736.53
  6. Step 6: Final answer
    x = 28,462.38

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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.