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Finding the Fourth Proportional to 37,615.50, 51,909.48 and 20,848.50

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Solution

The fourth proportional to 37,615.50, 51,909.48 and 20,848.50 is: 28,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,615.50 : 51,909.48 = 20,848.50 : x
  2. Step 2: Convert to fraction form
    37,615.50/51,909.48 = 20,848.50/x
  3. Step 3: Cross multiply
    37,615.50x = 51,909.48 × 20,848.50
  4. Step 4: Simplify right side
    37,615.50x = 1,082,234,793.78
  5. Step 5: Solve for x
    x = 1,082,234,793.78/37,615.50
  6. Step 6: Final answer
    x = 28,770.98

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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.