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Finding the Fourth Proportional to 76,871.12, 106,082.32 and 42,878.76

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Solution

The fourth proportional to 76,871.12, 106,082.32 and 42,878.76 is: 59,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.12 : 106,082.32 = 42,878.76 : x
  2. Step 2: Convert to fraction form
    76,871.12/106,082.32 = 42,878.76/x
  3. Step 3: Cross multiply
    76,871.12x = 106,082.32 × 42,878.76
  4. Step 4: Simplify right side
    76,871.12x = 4,548,678,339.52
  5. Step 5: Solve for x
    x = 4,548,678,339.52/76,871.12
  6. Step 6: Final answer
    x = 59,172.79

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