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Finding the Fourth Proportional to 78,106.77, 107,787.15 and 42,296.76

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Solution

The fourth proportional to 78,106.77, 107,787.15 and 42,296.76 is: 58,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.77 : 107,787.15 = 42,296.76 : x
  2. Step 2: Convert to fraction form
    78,106.77/107,787.15 = 42,296.76/x
  3. Step 3: Cross multiply
    78,106.77x = 107,787.15 × 42,296.76
  4. Step 4: Simplify right side
    78,106.77x = 4,559,047,214.63
  5. Step 5: Solve for x
    x = 4,559,047,214.63/78,106.77
  6. Step 6: Final answer
    x = 58,369.42

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