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Finding the Fourth Proportional to 37,909.69, 52,298.46 and 21,984.92

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Solution

The fourth proportional to 37,909.69, 52,298.46 and 21,984.92 is: 30,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,909.69 : 52,298.46 = 21,984.92 : x
  2. Step 2: Convert to fraction form
    37,909.69/52,298.46 = 21,984.92/x
  3. Step 3: Cross multiply
    37,909.69x = 52,298.46 × 21,984.92
  4. Step 4: Simplify right side
    37,909.69x = 1,149,777,459.22
  5. Step 5: Solve for x
    x = 1,149,777,459.22/37,909.69
  6. Step 6: Final answer
    x = 30,329.38

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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.