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Finding the Fourth Proportional to 102,100.86, 153,151.33 and 31,985.62

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Solution

The fourth proportional to 102,100.86, 153,151.33 and 31,985.62 is: 47,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.86 : 153,151.33 = 31,985.62 : x
  2. Step 2: Convert to fraction form
    102,100.86/153,151.33 = 31,985.62/x
  3. Step 3: Cross multiply
    102,100.86x = 153,151.33 × 31,985.62
  4. Step 4: Simplify right side
    102,100.86x = 4,898,640,243.87
  5. Step 5: Solve for x
    x = 4,898,640,243.87/102,100.86
  6. Step 6: Final answer
    x = 47,978.44

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