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Finding the Fourth Proportional to 77,378.34, 116,075.88 and 33,009.78

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Solution

The fourth proportional to 77,378.34, 116,075.88 and 33,009.78 is: 49,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.34 : 116,075.88 = 33,009.78 : x
  2. Step 2: Convert to fraction form
    77,378.34/116,075.88 = 33,009.78/x
  3. Step 3: Cross multiply
    77,378.34x = 116,075.88 × 33,009.78
  4. Step 4: Simplify right side
    77,378.34x = 3,831,639,262.11
  5. Step 5: Solve for x
    x = 3,831,639,262.11/77,378.34
  6. Step 6: Final answer
    x = 49,518.24

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