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Finding the Fourth Proportional to 35,653.38, 49,243.32 and 28,507.97

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Solution

The fourth proportional to 35,653.38, 49,243.32 and 28,507.97 is: 39,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.38 : 49,243.32 = 28,507.97 : x
  2. Step 2: Convert to fraction form
    35,653.38/49,243.32 = 28,507.97/x
  3. Step 3: Cross multiply
    35,653.38x = 49,243.32 × 28,507.97
  4. Step 4: Simplify right side
    35,653.38x = 1,403,826,843.04
  5. Step 5: Solve for x
    x = 1,403,826,843.04/35,653.38
  6. Step 6: Final answer
    x = 39,374.30

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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.