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Finding the Fourth Proportional to 31,740.80, 43,806.87 and 18,309.38

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Solution

The fourth proportional to 31,740.80, 43,806.87 and 18,309.38 is: 25,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.80 : 43,806.87 = 18,309.38 : x
  2. Step 2: Convert to fraction form
    31,740.80/43,806.87 = 18,309.38/x
  3. Step 3: Cross multiply
    31,740.80x = 43,806.87 × 18,309.38
  4. Step 4: Simplify right side
    31,740.80x = 802,076,410.41
  5. Step 5: Solve for x
    x = 802,076,410.41/31,740.80
  6. Step 6: Final answer
    x = 25,269.58

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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.