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Finding the Fourth Proportional to 43,382.40, 65,110.53 and 30,932.91

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Solution

The fourth proportional to 43,382.40, 65,110.53 and 30,932.91 is: 46,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,382.40 : 65,110.53 = 30,932.91 : x
  2. Step 2: Convert to fraction form
    43,382.40/65,110.53 = 30,932.91/x
  3. Step 3: Cross multiply
    43,382.40x = 65,110.53 × 30,932.91
  4. Step 4: Simplify right side
    43,382.40x = 2,014,058,164.54
  5. Step 5: Solve for x
    x = 2,014,058,164.54/43,382.40
  6. Step 6: Final answer
    x = 46,425.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.