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Finding the Fourth Proportional to 33,675.38, 46,470.16 and 18,565.45

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Solution

The fourth proportional to 33,675.38, 46,470.16 and 18,565.45 is: 25,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675.38 : 46,470.16 = 18,565.45 : x
  2. Step 2: Convert to fraction form
    33,675.38/46,470.16 = 18,565.45/x
  3. Step 3: Cross multiply
    33,675.38x = 46,470.16 × 18,565.45
  4. Step 4: Simplify right side
    33,675.38x = 862,739,495.97
  5. Step 5: Solve for x
    x = 862,739,495.97/33,675.38
  6. Step 6: Final answer
    x = 25,619.30

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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.