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Finding the Fourth Proportional to 31,381.78, 43,334.99 and 23,410.17

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Solution

The fourth proportional to 31,381.78, 43,334.99 and 23,410.17 is: 32,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.78 : 43,334.99 = 23,410.17 : x
  2. Step 2: Convert to fraction form
    31,381.78/43,334.99 = 23,410.17/x
  3. Step 3: Cross multiply
    31,381.78x = 43,334.99 × 23,410.17
  4. Step 4: Simplify right side
    31,381.78x = 1,014,479,482.85
  5. Step 5: Solve for x
    x = 1,014,479,482.85/31,381.78
  6. Step 6: Final answer
    x = 32,327.02

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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.