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Finding the Fourth Proportional to 35,734.42, 49,316.54 and 19,824

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Solution

The fourth proportional to 35,734.42, 49,316.54 and 19,824 is: 27,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.42 : 49,316.54 = 19,824 : x
  2. Step 2: Convert to fraction form
    35,734.42/49,316.54 = 19,824/x
  3. Step 3: Cross multiply
    35,734.42x = 49,316.54 × 19,824
  4. Step 4: Simplify right side
    35,734.42x = 977,651,088.96
  5. Step 5: Solve for x
    x = 977,651,088.96/35,734.42
  6. Step 6: Final answer
    x = 27,358.81

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