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Finding the Fourth Proportional to 76,842.50, 106,038.56 and 42,854.48

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Solution

The fourth proportional to 76,842.50, 106,038.56 and 42,854.48 is: 59,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.50 : 106,038.56 = 42,854.48 : x
  2. Step 2: Convert to fraction form
    76,842.50/106,038.56 = 42,854.48/x
  3. Step 3: Cross multiply
    76,842.50x = 106,038.56 × 42,854.48
  4. Step 4: Simplify right side
    76,842.50x = 4,544,227,348.75
  5. Step 5: Solve for x
    x = 4,544,227,348.75/76,842.50
  6. Step 6: Final answer
    x = 59,136.90

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