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Finding the Fourth Proportional to 31,802.88, 47,705.32 and 15,164.72

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Solution

The fourth proportional to 31,802.88, 47,705.32 and 15,164.72 is: 22,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.88 : 47,705.32 = 15,164.72 : x
  2. Step 2: Convert to fraction form
    31,802.88/47,705.32 = 15,164.72/x
  3. Step 3: Cross multiply
    31,802.88x = 47,705.32 × 15,164.72
  4. Step 4: Simplify right side
    31,802.88x = 723,437,820.31
  5. Step 5: Solve for x
    x = 723,437,820.31/31,802.88
  6. Step 6: Final answer
    x = 22,747.56

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