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Finding the Fourth Proportional to 31,182.84, 46,774.56 and 10,406.28

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Solution

The fourth proportional to 31,182.84, 46,774.56 and 10,406.28 is: 15,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.84 : 46,774.56 = 10,406.28 : x
  2. Step 2: Convert to fraction form
    31,182.84/46,774.56 = 10,406.28/x
  3. Step 3: Cross multiply
    31,182.84x = 46,774.56 × 10,406.28
  4. Step 4: Simplify right side
    31,182.84x = 486,749,168.24
  5. Step 5: Solve for x
    x = 486,749,168.24/31,182.84
  6. Step 6: Final answer
    x = 15,609.52

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