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Finding the Fourth Proportional to 37,510.50, 56,273.34 and 16,734

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Solution

The fourth proportional to 37,510.50, 56,273.34 and 16,734 is: 25,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,510.50 : 56,273.34 = 16,734 : x
  2. Step 2: Convert to fraction form
    37,510.50/56,273.34 = 16,734/x
  3. Step 3: Cross multiply
    37,510.50x = 56,273.34 × 16,734
  4. Step 4: Simplify right side
    37,510.50x = 941,678,071.56
  5. Step 5: Solve for x
    x = 941,678,071.56/37,510.50
  6. Step 6: Final answer
    x = 25,104.39

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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.