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Finding the Fourth Proportional to 47,006.75, 70,513.77 and 15,842

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Solution

The fourth proportional to 47,006.75, 70,513.77 and 15,842 is: 23,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006.75 : 70,513.77 = 15,842 : x
  2. Step 2: Convert to fraction form
    47,006.75/70,513.77 = 15,842/x
  3. Step 3: Cross multiply
    47,006.75x = 70,513.77 × 15,842
  4. Step 4: Simplify right side
    47,006.75x = 1,117,079,144.34
  5. Step 5: Solve for x
    x = 1,117,079,144.34/47,006.75
  6. Step 6: Final answer
    x = 23,764.23

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