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Finding the Fourth Proportional to 35,674.16, 49,230.72 and 19,759.55

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Solution

The fourth proportional to 35,674.16, 49,230.72 and 19,759.55 is: 27,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.16 : 49,230.72 = 19,759.55 : x
  2. Step 2: Convert to fraction form
    35,674.16/49,230.72 = 19,759.55/x
  3. Step 3: Cross multiply
    35,674.16x = 49,230.72 × 19,759.55
  4. Step 4: Simplify right side
    35,674.16x = 972,776,627.22
  5. Step 5: Solve for x
    x = 972,776,627.22/35,674.16
  6. Step 6: Final answer
    x = 27,268.39

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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.