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Finding the Fourth Proportional to 31,775.62, 47,669.64 and 9,590.80

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Solution

The fourth proportional to 31,775.62, 47,669.64 and 9,590.80 is: 14,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.62 : 47,669.64 = 9,590.80 : x
  2. Step 2: Convert to fraction form
    31,775.62/47,669.64 = 9,590.80/x
  3. Step 3: Cross multiply
    31,775.62x = 47,669.64 × 9,590.80
  4. Step 4: Simplify right side
    31,775.62x = 457,189,983.31
  5. Step 5: Solve for x
    x = 457,189,983.31/31,775.62
  6. Step 6: Final answer
    x = 14,388.07

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