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Finding the Fourth Proportional to 37,835, 52,213.92 and 21,068

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Solution

The fourth proportional to 37,835, 52,213.92 and 21,068 is: 29,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,835 : 52,213.92 = 21,068 : x
  2. Step 2: Convert to fraction form
    37,835/52,213.92 = 21,068/x
  3. Step 3: Cross multiply
    37,835x = 52,213.92 × 21,068
  4. Step 4: Simplify right side
    37,835x = 1,100,042,866.56
  5. Step 5: Solve for x
    x = 1,100,042,866.56/37,835
  6. Step 6: Final answer
    x = 29,074.74

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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.