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Finding the Fourth Proportional to 33,456.64, 46,072.64 and 31,319.68

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Solution

The fourth proportional to 33,456.64, 46,072.64 and 31,319.68 is: 43,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456.64 : 46,072.64 = 31,319.68 : x
  2. Step 2: Convert to fraction form
    33,456.64/46,072.64 = 31,319.68/x
  3. Step 3: Cross multiply
    33,456.64x = 46,072.64 × 31,319.68
  4. Step 4: Simplify right side
    33,456.64x = 1,442,980,341.56
  5. Step 5: Solve for x
    x = 1,442,980,341.56/33,456.64
  6. Step 6: Final answer
    x = 43,129.86

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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.