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Finding the Fourth Proportional to 37,538.12, 51,814.14 and 21,633.16

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Solution

The fourth proportional to 37,538.12, 51,814.14 and 21,633.16 is: 29,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.12 : 51,814.14 = 21,633.16 : x
  2. Step 2: Convert to fraction form
    37,538.12/51,814.14 = 21,633.16/x
  3. Step 3: Cross multiply
    37,538.12x = 51,814.14 × 21,633.16
  4. Step 4: Simplify right side
    37,538.12x = 1,120,903,580.88
  5. Step 5: Solve for x
    x = 1,120,903,580.88/37,538.12
  6. Step 6: Final answer
    x = 29,860.41

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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.