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Finding the Fourth Proportional to 75,830.18, 113,815.16 and 38,416.32

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Solution

The fourth proportional to 75,830.18, 113,815.16 and 38,416.32 is: 57,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830.18 : 113,815.16 = 38,416.32 : x
  2. Step 2: Convert to fraction form
    75,830.18/113,815.16 = 38,416.32/x
  3. Step 3: Cross multiply
    75,830.18x = 113,815.16 × 38,416.32
  4. Step 4: Simplify right side
    75,830.18x = 4,372,359,607.41
  5. Step 5: Solve for x
    x = 4,372,359,607.41/75,830.18
  6. Step 6: Final answer
    x = 57,659.89

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