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Finding the Fourth Proportional to 37,973.70, 52,402.37 and 20,977.65

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Solution

The fourth proportional to 37,973.70, 52,402.37 and 20,977.65 is: 28,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,973.70 : 52,402.37 = 20,977.65 : x
  2. Step 2: Convert to fraction form
    37,973.70/52,402.37 = 20,977.65/x
  3. Step 3: Cross multiply
    37,973.70x = 52,402.37 × 20,977.65
  4. Step 4: Simplify right side
    37,973.70x = 1,099,278,472.14
  5. Step 5: Solve for x
    x = 1,099,278,472.14/37,973.70
  6. Step 6: Final answer
    x = 28,948.42

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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.