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Finding the Fourth Proportional to 35,672.65, 49,231.02 and 19,758.58

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Solution

The fourth proportional to 35,672.65, 49,231.02 and 19,758.58 is: 27,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672.65 : 49,231.02 = 19,758.58 : x
  2. Step 2: Convert to fraction form
    35,672.65/49,231.02 = 19,758.58/x
  3. Step 3: Cross multiply
    35,672.65x = 49,231.02 × 19,758.58
  4. Step 4: Simplify right side
    35,672.65x = 972,734,998.17
  5. Step 5: Solve for x
    x = 972,734,998.17/35,672.65
  6. Step 6: Final answer
    x = 27,268.37

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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.