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Finding the Fourth Proportional to 31,410.30, 43,345.70 and 17,262.84

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Solution

The fourth proportional to 31,410.30, 43,345.70 and 17,262.84 is: 23,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.30 : 43,345.70 = 17,262.84 : x
  2. Step 2: Convert to fraction form
    31,410.30/43,345.70 = 17,262.84/x
  3. Step 3: Cross multiply
    31,410.30x = 43,345.70 × 17,262.84
  4. Step 4: Simplify right side
    31,410.30x = 748,269,883.79
  5. Step 5: Solve for x
    x = 748,269,883.79/31,410.30
  6. Step 6: Final answer
    x = 23,822.44

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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.