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Finding the Fourth Proportional to 37,216.12, 51,358.74 and 20,449

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Solution

The fourth proportional to 37,216.12, 51,358.74 and 20,449 is: 28,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,216.12 : 51,358.74 = 20,449 : x
  2. Step 2: Convert to fraction form
    37,216.12/51,358.74 = 20,449/x
  3. Step 3: Cross multiply
    37,216.12x = 51,358.74 × 20,449
  4. Step 4: Simplify right side
    37,216.12x = 1,050,234,874.26
  5. Step 5: Solve for x
    x = 1,050,234,874.26/37,216.12
  6. Step 6: Final answer
    x = 28,219.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.