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Finding the Fourth Proportional to 37,646.34, 51,950.07 and 21,729.84

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Solution

The fourth proportional to 37,646.34, 51,950.07 and 21,729.84 is: 29,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.34 : 51,950.07 = 21,729.84 : x
  2. Step 2: Convert to fraction form
    37,646.34/51,950.07 = 21,729.84/x
  3. Step 3: Cross multiply
    37,646.34x = 51,950.07 × 21,729.84
  4. Step 4: Simplify right side
    37,646.34x = 1,128,866,709.09
  5. Step 5: Solve for x
    x = 1,128,866,709.09/37,646.34
  6. Step 6: Final answer
    x = 29,986.09

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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.