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Finding the Fourth Proportional to 31,777.52, 43,852.39 and 17,630.06

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Solution

The fourth proportional to 31,777.52, 43,852.39 and 17,630.06 is: 24,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.52 : 43,852.39 = 17,630.06 : x
  2. Step 2: Convert to fraction form
    31,777.52/43,852.39 = 17,630.06/x
  3. Step 3: Cross multiply
    31,777.52x = 43,852.39 × 17,630.06
  4. Step 4: Simplify right side
    31,777.52x = 773,120,003.51
  5. Step 5: Solve for x
    x = 773,120,003.51/31,777.52
  6. Step 6: Final answer
    x = 24,329.15

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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.