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Finding the Fourth Proportional to 31,409.13, 43,345.49 and 17,262.89

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Solution

The fourth proportional to 31,409.13, 43,345.49 and 17,262.89 is: 23,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.13 : 43,345.49 = 17,262.89 : x
  2. Step 2: Convert to fraction form
    31,409.13/43,345.49 = 17,262.89/x
  3. Step 3: Cross multiply
    31,409.13x = 43,345.49 × 17,262.89
  4. Step 4: Simplify right side
    31,409.13x = 748,268,122.82
  5. Step 5: Solve for x
    x = 748,268,122.82/31,409.13
  6. Step 6: Final answer
    x = 23,823.27

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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.