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Finding the Fourth Proportional to 78,594.42, 108,460.31 and 42,784.70

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Solution

The fourth proportional to 78,594.42, 108,460.31 and 42,784.70 is: 59,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,594.42 : 108,460.31 = 42,784.70 : x
  2. Step 2: Convert to fraction form
    78,594.42/108,460.31 = 42,784.70/x
  3. Step 3: Cross multiply
    78,594.42x = 108,460.31 × 42,784.70
  4. Step 4: Simplify right side
    78,594.42x = 4,640,441,069.03
  5. Step 5: Solve for x
    x = 4,640,441,069.03/78,594.42
  6. Step 6: Final answer
    x = 59,042.88

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