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Finding the Fourth Proportional to 35,643.14, 49,186.93 and 19,727.24

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Solution

The fourth proportional to 35,643.14, 49,186.93 and 19,727.24 is: 27,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.14 : 49,186.93 = 19,727.24 : x
  2. Step 2: Convert to fraction form
    35,643.14/49,186.93 = 19,727.24/x
  3. Step 3: Cross multiply
    35,643.14x = 49,186.93 × 19,727.24
  4. Step 4: Simplify right side
    35,643.14x = 970,322,274.34
  5. Step 5: Solve for x
    x = 970,322,274.34/35,643.14
  6. Step 6: Final answer
    x = 27,223.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.