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Finding the Fourth Proportional to 102,538.64, 153,807.00 and 32,417.96

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Solution

The fourth proportional to 102,538.64, 153,807.00 and 32,417.96 is: 48,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.64 : 153,807.00 = 32,417.96 : x
  2. Step 2: Convert to fraction form
    102,538.64/153,807.00 = 32,417.96/x
  3. Step 3: Cross multiply
    102,538.64x = 153,807.00 × 32,417.96
  4. Step 4: Simplify right side
    102,538.64x = 4,986,109,679.80
  5. Step 5: Solve for x
    x = 4,986,109,679.80/102,538.64
  6. Step 6: Final answer
    x = 48,626.64

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