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Finding the Fourth Proportional to 31,802.32, 43,869 and 28,034.56

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Solution

The fourth proportional to 31,802.32, 43,869 and 28,034.56 is: 38,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.32 : 43,869 = 28,034.56 : x
  2. Step 2: Convert to fraction form
    31,802.32/43,869 = 28,034.56/x
  3. Step 3: Cross multiply
    31,802.32x = 43,869 × 28,034.56
  4. Step 4: Simplify right side
    31,802.32x = 1,229,848,112.64
  5. Step 5: Solve for x
    x = 1,229,848,112.64/31,802.32
  6. Step 6: Final answer
    x = 38,671.65

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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.