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Finding the Fourth Proportional to 31,454.31, 43,406.95 and 17,308.07

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Solution

The fourth proportional to 31,454.31, 43,406.95 and 17,308.07 is: 23,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454.31 : 43,406.95 = 17,308.07 : x
  2. Step 2: Convert to fraction form
    31,454.31/43,406.95 = 17,308.07/x
  3. Step 3: Cross multiply
    31,454.31x = 43,406.95 × 17,308.07
  4. Step 4: Simplify right side
    31,454.31x = 751,290,529.09
  5. Step 5: Solve for x
    x = 751,290,529.09/31,454.31
  6. Step 6: Final answer
    x = 23,885.14

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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.