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Finding the Fourth Proportional to 31,416.49, 43,354.73 and 17,076.31

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Solution

The fourth proportional to 31,416.49, 43,354.73 and 17,076.31 is: 23,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.49 : 43,354.73 = 17,076.31 : x
  2. Step 2: Convert to fraction form
    31,416.49/43,354.73 = 17,076.31/x
  3. Step 3: Cross multiply
    31,416.49x = 43,354.73 × 17,076.31
  4. Step 4: Simplify right side
    31,416.49x = 740,338,507.29
  5. Step 5: Solve for x
    x = 740,338,507.29/31,416.49
  6. Step 6: Final answer
    x = 23,565.28

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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.