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Finding the Fourth Proportional to 37,780.56, 56,674.02 and 11,485.50

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Solution

The fourth proportional to 37,780.56, 56,674.02 and 11,485.50 is: 17,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780.56 : 56,674.02 = 11,485.50 : x
  2. Step 2: Convert to fraction form
    37,780.56/56,674.02 = 11,485.50/x
  3. Step 3: Cross multiply
    37,780.56x = 56,674.02 × 11,485.50
  4. Step 4: Simplify right side
    37,780.56x = 650,929,456.71
  5. Step 5: Solve for x
    x = 650,929,456.71/37,780.56
  6. Step 6: Final answer
    x = 17,229.22

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Why These Related Problems?

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