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Finding the Fourth Proportional to 31,957.96, 44,101.38 and 17,809.96

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Solution

The fourth proportional to 31,957.96, 44,101.38 and 17,809.96 is: 24,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.96 : 44,101.38 = 17,809.96 : x
  2. Step 2: Convert to fraction form
    31,957.96/44,101.38 = 17,809.96/x
  3. Step 3: Cross multiply
    31,957.96x = 44,101.38 × 17,809.96
  4. Step 4: Simplify right side
    31,957.96x = 785,443,813.74
  5. Step 5: Solve for x
    x = 785,443,813.74/31,957.96
  6. Step 6: Final answer
    x = 24,577.41

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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.