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Finding the Fourth Proportional to 102,086.86, 153,130.26 and 31,971.64

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Solution

The fourth proportional to 102,086.86, 153,130.26 and 31,971.64 is: 47,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,086.86 : 153,130.26 = 31,971.64 : x
  2. Step 2: Convert to fraction form
    102,086.86/153,130.26 = 31,971.64/x
  3. Step 3: Cross multiply
    102,086.86x = 153,130.26 × 31,971.64
  4. Step 4: Simplify right side
    102,086.86x = 4,895,825,545.83
  5. Step 5: Solve for x
    x = 4,895,825,545.83/102,086.86
  6. Step 6: Final answer
    x = 47,957.45

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