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Finding the Fourth Proportional to 38,738.38, 53,470.65 and 33,489.58

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Solution

The fourth proportional to 38,738.38, 53,470.65 and 33,489.58 is: 46,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.38 : 53,470.65 = 33,489.58 : x
  2. Step 2: Convert to fraction form
    38,738.38/53,470.65 = 33,489.58/x
  3. Step 3: Cross multiply
    38,738.38x = 53,470.65 × 33,489.58
  4. Step 4: Simplify right side
    38,738.38x = 1,790,709,610.83
  5. Step 5: Solve for x
    x = 1,790,709,610.83/38,738.38
  6. Step 6: Final answer
    x = 46,225.72

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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.