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Finding the Fourth Proportional to 78,032.34, 107,683.85 and 42,221.57

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Solution

The fourth proportional to 78,032.34, 107,683.85 and 42,221.57 is: 58,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,032.34 : 107,683.85 = 42,221.57 : x
  2. Step 2: Convert to fraction form
    78,032.34/107,683.85 = 42,221.57/x
  3. Step 3: Cross multiply
    78,032.34x = 107,683.85 × 42,221.57
  4. Step 4: Simplify right side
    78,032.34x = 4,546,580,777.78
  5. Step 5: Solve for x
    x = 4,546,580,777.78/78,032.34
  6. Step 6: Final answer
    x = 58,265.34

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