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Finding the Fourth Proportional to 31,999.58, 44,160.34 and 17,853.34

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Solution

The fourth proportional to 31,999.58, 44,160.34 and 17,853.34 is: 24,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.58 : 44,160.34 = 17,853.34 : x
  2. Step 2: Convert to fraction form
    31,999.58/44,160.34 = 17,853.34/x
  3. Step 3: Cross multiply
    31,999.58x = 44,160.34 × 17,853.34
  4. Step 4: Simplify right side
    31,999.58x = 788,409,564.54
  5. Step 5: Solve for x
    x = 788,409,564.54/31,999.58
  6. Step 6: Final answer
    x = 24,638.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.