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Finding the Fourth Proportional to 31,235.38, 43,091.76 and 20,482.84

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Solution

The fourth proportional to 31,235.38, 43,091.76 and 20,482.84 is: 28,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.38 : 43,091.76 = 20,482.84 : x
  2. Step 2: Convert to fraction form
    31,235.38/43,091.76 = 20,482.84/x
  3. Step 3: Cross multiply
    31,235.38x = 43,091.76 × 20,482.84
  4. Step 4: Simplify right side
    31,235.38x = 882,641,625.40
  5. Step 5: Solve for x
    x = 882,641,625.40/31,235.38
  6. Step 6: Final answer
    x = 28,257.75

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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.