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Finding the Fourth Proportional to 37,546.83, 51,814.50 and 20,319.17

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Solution

The fourth proportional to 37,546.83, 51,814.50 and 20,319.17 is: 28,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546.83 : 51,814.50 = 20,319.17 : x
  2. Step 2: Convert to fraction form
    37,546.83/51,814.50 = 20,319.17/x
  3. Step 3: Cross multiply
    37,546.83x = 51,814.50 × 20,319.17
  4. Step 4: Simplify right side
    37,546.83x = 1,052,827,464.42
  5. Step 5: Solve for x
    x = 1,052,827,464.42/37,546.83
  6. Step 6: Final answer
    x = 28,040.38

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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.