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Finding the Fourth Proportional to 37,658.32, 51,968.03 and 21,742.43

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Solution

The fourth proportional to 37,658.32, 51,968.03 and 21,742.43 is: 30,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.32 : 51,968.03 = 21,742.43 : x
  2. Step 2: Convert to fraction form
    37,658.32/51,968.03 = 21,742.43/x
  3. Step 3: Cross multiply
    37,658.32x = 51,968.03 × 21,742.43
  4. Step 4: Simplify right side
    37,658.32x = 1,129,911,049.03
  5. Step 5: Solve for x
    x = 1,129,911,049.03/37,658.32
  6. Step 6: Final answer
    x = 30,004.29

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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.