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Finding the Fourth Proportional to 37,770.32, 56,604.42 and 14,384

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Solution

The fourth proportional to 37,770.32, 56,604.42 and 14,384 is: 21,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,770.32 : 56,604.42 = 14,384 : x
  2. Step 2: Convert to fraction form
    37,770.32/56,604.42 = 14,384/x
  3. Step 3: Cross multiply
    37,770.32x = 56,604.42 × 14,384
  4. Step 4: Simplify right side
    37,770.32x = 814,197,977.28
  5. Step 5: Solve for x
    x = 814,197,977.28/37,770.32
  6. Step 6: Final answer
    x = 21,556.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.