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Finding the Fourth Proportional to 102,427.44, 153,641.16 and 32,312.20

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Solution

The fourth proportional to 102,427.44, 153,641.16 and 32,312.20 is: 48,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427.44 : 153,641.16 = 32,312.20 : x
  2. Step 2: Convert to fraction form
    102,427.44/153,641.16 = 32,312.20/x
  3. Step 3: Cross multiply
    102,427.44x = 153,641.16 × 32,312.20
  4. Step 4: Simplify right side
    102,427.44x = 4,964,483,890.15
  5. Step 5: Solve for x
    x = 4,964,483,890.15/102,427.44
  6. Step 6: Final answer
    x = 48,468.30

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