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Finding the Fourth Proportional to 37,446, 51,675.48 and 20,680.08

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Solution

The fourth proportional to 37,446, 51,675.48 and 20,680.08 is: 28,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,446 : 51,675.48 = 20,680.08 : x
  2. Step 2: Convert to fraction form
    37,446/51,675.48 = 20,680.08/x
  3. Step 3: Cross multiply
    37,446x = 51,675.48 × 20,680.08
  4. Step 4: Simplify right side
    37,446x = 1,068,653,060.44
  5. Step 5: Solve for x
    x = 1,068,653,060.44/37,446
  6. Step 6: Final answer
    x = 28,538.51

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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.