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Finding the Fourth Proportional to 37,416, 51,634.26 and 20,650.08

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Solution

The fourth proportional to 37,416, 51,634.26 and 20,650.08 is: 28,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,416 : 51,634.26 = 20,650.08 : x
  2. Step 2: Convert to fraction form
    37,416/51,634.26 = 20,650.08/x
  3. Step 3: Cross multiply
    37,416x = 51,634.26 × 20,650.08
  4. Step 4: Simplify right side
    37,416x = 1,066,251,599.74
  5. Step 5: Solve for x
    x = 1,066,251,599.74/37,416
  6. Step 6: Final answer
    x = 28,497.21

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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.