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Finding the Fourth Proportional to 31,580.36, 43,579.20 and 19,643.36

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Solution

The fourth proportional to 31,580.36, 43,579.20 and 19,643.36 is: 27,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.36 : 43,579.20 = 19,643.36 : x
  2. Step 2: Convert to fraction form
    31,580.36/43,579.20 = 19,643.36/x
  3. Step 3: Cross multiply
    31,580.36x = 43,579.20 × 19,643.36
  4. Step 4: Simplify right side
    31,580.36x = 856,041,914.11
  5. Step 5: Solve for x
    x = 856,041,914.11/31,580.36
  6. Step 6: Final answer
    x = 27,106.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.