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Finding the Fourth Proportional to 31,852.80, 43,840.80 and 28,051.11

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Solution

The fourth proportional to 31,852.80, 43,840.80 and 28,051.11 is: 38,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.80 : 43,840.80 = 28,051.11 : x
  2. Step 2: Convert to fraction form
    31,852.80/43,840.80 = 28,051.11/x
  3. Step 3: Cross multiply
    31,852.80x = 43,840.80 × 28,051.11
  4. Step 4: Simplify right side
    31,852.80x = 1,229,783,103.29
  5. Step 5: Solve for x
    x = 1,229,783,103.29/31,852.80
  6. Step 6: Final answer
    x = 38,608.32

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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.