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Finding the Fourth Proportional to 37,470.88, 51,733.92 and 24,047.92

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Solution

The fourth proportional to 37,470.88, 51,733.92 and 24,047.92 is: 33,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470.88 : 51,733.92 = 24,047.92 : x
  2. Step 2: Convert to fraction form
    37,470.88/51,733.92 = 24,047.92/x
  3. Step 3: Cross multiply
    37,470.88x = 51,733.92 × 24,047.92
  4. Step 4: Simplify right side
    37,470.88x = 1,244,093,169.45
  5. Step 5: Solve for x
    x = 1,244,093,169.45/37,470.88
  6. Step 6: Final answer
    x = 33,201.60

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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.