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Finding the Fourth Proportional to 31,419.45, 43,341.53 and 19,913.31

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Solution

The fourth proportional to 31,419.45, 43,341.53 and 19,913.31 is: 27,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.45 : 43,341.53 = 19,913.31 : x
  2. Step 2: Convert to fraction form
    31,419.45/43,341.53 = 19,913.31/x
  3. Step 3: Cross multiply
    31,419.45x = 43,341.53 × 19,913.31
  4. Step 4: Simplify right side
    31,419.45x = 863,073,322.76
  5. Step 5: Solve for x
    x = 863,073,322.76/31,419.45
  6. Step 6: Final answer
    x = 27,469.40

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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.