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Finding the Fourth Proportional to 31,409.79, 43,345.02 and 17,262.33

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Solution

The fourth proportional to 31,409.79, 43,345.02 and 17,262.33 is: 23,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.79 : 43,345.02 = 17,262.33 : x
  2. Step 2: Convert to fraction form
    31,409.79/43,345.02 = 17,262.33/x
  3. Step 3: Cross multiply
    31,409.79x = 43,345.02 × 17,262.33
  4. Step 4: Simplify right side
    31,409.79x = 748,236,039.10
  5. Step 5: Solve for x
    x = 748,236,039.10/31,409.79
  6. Step 6: Final answer
    x = 23,821.75

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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.