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Finding the Fourth Proportional to 31,999.50, 44,159.31 and 17,852.34

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Solution

The fourth proportional to 31,999.50, 44,159.31 and 17,852.34 is: 24,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.50 : 44,159.31 = 17,852.34 : x
  2. Step 2: Convert to fraction form
    31,999.50/44,159.31 = 17,852.34/x
  3. Step 3: Cross multiply
    31,999.50x = 44,159.31 × 17,852.34
  4. Step 4: Simplify right side
    31,999.50x = 788,347,016.29
  5. Step 5: Solve for x
    x = 788,347,016.29/31,999.50
  6. Step 6: Final answer
    x = 24,636.23

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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.