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Finding the Fourth Proportional to 37,182, 51,311.52 and 20,415.36

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Solution

The fourth proportional to 37,182, 51,311.52 and 20,415.36 is: 28,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182 : 51,311.52 = 20,415.36 : x
  2. Step 2: Convert to fraction form
    37,182/51,311.52 = 20,415.36/x
  3. Step 3: Cross multiply
    37,182x = 51,311.52 × 20,415.36
  4. Step 4: Simplify right side
    37,182x = 1,047,543,152.95
  5. Step 5: Solve for x
    x = 1,047,543,152.95/37,182
  6. Step 6: Final answer
    x = 28,173.39

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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.