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Finding the Fourth Proportional to 76,176, 114,264 and 32,400

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Solution

The fourth proportional to 76,176, 114,264 and 32,400 is: 48,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 114,264 = 32,400 : x
  2. Step 2: Convert to fraction form
    76,176/114,264 = 32,400/x
  3. Step 3: Cross multiply
    76,176x = 114,264 × 32,400
  4. Step 4: Simplify right side
    76,176x = 3,702,153,600
  5. Step 5: Solve for x
    x = 3,702,153,600/76,176
  6. Step 6: Final answer
    x = 48,600

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