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Finding the Fourth Proportional to 31,392.36, 43,328.94 and 17,971.38

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Solution

The fourth proportional to 31,392.36, 43,328.94 and 17,971.38 is: 24,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.36 : 43,328.94 = 17,971.38 : x
  2. Step 2: Convert to fraction form
    31,392.36/43,328.94 = 17,971.38/x
  3. Step 3: Cross multiply
    31,392.36x = 43,328.94 × 17,971.38
  4. Step 4: Simplify right side
    31,392.36x = 778,680,845.74
  5. Step 5: Solve for x
    x = 778,680,845.74/31,392.36
  6. Step 6: Final answer
    x = 24,804.79

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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.