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Finding the Fourth Proportional to 102,518.42, 153,784.98 and 31,431.83

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Solution

The fourth proportional to 102,518.42, 153,784.98 and 31,431.83 is: 47,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,518.42 : 153,784.98 = 31,431.83 : x
  2. Step 2: Convert to fraction form
    102,518.42/153,784.98 = 31,431.83/x
  3. Step 3: Cross multiply
    102,518.42x = 153,784.98 × 31,431.83
  4. Step 4: Simplify right side
    102,518.42x = 4,833,742,578.99
  5. Step 5: Solve for x
    x = 4,833,742,578.99/102,518.42
  6. Step 6: Final answer
    x = 47,149.99

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