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Finding the Fourth Proportional to 35,779.97, 49,376.57 and 19,647.97

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Solution

The fourth proportional to 35,779.97, 49,376.57 and 19,647.97 is: 27,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,779.97 : 49,376.57 = 19,647.97 : x
  2. Step 2: Convert to fraction form
    35,779.97/49,376.57 = 19,647.97/x
  3. Step 3: Cross multiply
    35,779.97x = 49,376.57 × 19,647.97
  4. Step 4: Simplify right side
    35,779.97x = 970,149,366.06
  5. Step 5: Solve for x
    x = 970,149,366.06/35,779.97
  6. Step 6: Final answer
    x = 27,114.31

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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.