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Finding the Fourth Proportional to 37,245.72, 51,397.74 and 20,478.36

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Solution

The fourth proportional to 37,245.72, 51,397.74 and 20,478.36 is: 28,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245.72 : 51,397.74 = 20,478.36 : x
  2. Step 2: Convert to fraction form
    37,245.72/51,397.74 = 20,478.36/x
  3. Step 3: Cross multiply
    37,245.72x = 51,397.74 × 20,478.36
  4. Step 4: Simplify right side
    37,245.72x = 1,052,541,422.91
  5. Step 5: Solve for x
    x = 1,052,541,422.91/37,245.72
  6. Step 6: Final answer
    x = 28,259.39

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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.