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Finding the Fourth Proportional to 55,936.32, 77,192.64 and 30,786

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Solution

The fourth proportional to 55,936.32, 77,192.64 and 30,786 is: 42,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,936.32 : 77,192.64 = 30,786 : x
  2. Step 2: Convert to fraction form
    55,936.32/77,192.64 = 30,786/x
  3. Step 3: Cross multiply
    55,936.32x = 77,192.64 × 30,786
  4. Step 4: Simplify right side
    55,936.32x = 2,376,452,615.04
  5. Step 5: Solve for x
    x = 2,376,452,615.04/55,936.32
  6. Step 6: Final answer
    x = 42,484.97

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