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Finding the Fourth Proportional to 37,123.58, 55,674.39 and 10,820.09

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Solution

The fourth proportional to 37,123.58, 55,674.39 and 10,820.09 is: 16,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123.58 : 55,674.39 = 10,820.09 : x
  2. Step 2: Convert to fraction form
    37,123.58/55,674.39 = 10,820.09/x
  3. Step 3: Cross multiply
    37,123.58x = 55,674.39 × 10,820.09
  4. Step 4: Simplify right side
    37,123.58x = 602,401,910.50
  5. Step 5: Solve for x
    x = 602,401,910.50/37,123.58
  6. Step 6: Final answer
    x = 16,226.93

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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.