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Finding the Fourth Proportional to 76,830.78, 105,988.87 and 51,343.46

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Solution

The fourth proportional to 76,830.78, 105,988.87 and 51,343.46 is: 70,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.78 : 105,988.87 = 51,343.46 : x
  2. Step 2: Convert to fraction form
    76,830.78/105,988.87 = 51,343.46/x
  3. Step 3: Cross multiply
    76,830.78x = 105,988.87 × 51,343.46
  4. Step 4: Simplify right side
    76,830.78x = 5,441,835,307.29
  5. Step 5: Solve for x
    x = 5,441,835,307.29/76,830.78
  6. Step 6: Final answer
    x = 70,828.84

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