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Finding the Fourth Proportional to 31,751.34, 43,816.80 and 18,322.38

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Solution

The fourth proportional to 31,751.34, 43,816.80 and 18,322.38 is: 25,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.34 : 43,816.80 = 18,322.38 : x
  2. Step 2: Convert to fraction form
    31,751.34/43,816.80 = 18,322.38/x
  3. Step 3: Cross multiply
    31,751.34x = 43,816.80 × 18,322.38
  4. Step 4: Simplify right side
    31,751.34x = 802,828,059.98
  5. Step 5: Solve for x
    x = 802,828,059.98/31,751.34
  6. Step 6: Final answer
    x = 25,284.86

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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.