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Finding the Fourth Proportional to 31,431.62, 43,381.50 and 19,492.22

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Solution

The fourth proportional to 31,431.62, 43,381.50 and 19,492.22 is: 26,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.62 : 43,381.50 = 19,492.22 : x
  2. Step 2: Convert to fraction form
    31,431.62/43,381.50 = 19,492.22/x
  3. Step 3: Cross multiply
    31,431.62x = 43,381.50 × 19,492.22
  4. Step 4: Simplify right side
    31,431.62x = 845,601,741.93
  5. Step 5: Solve for x
    x = 845,601,741.93/31,431.62
  6. Step 6: Final answer
    x = 26,902.90

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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.