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Finding the Fourth Proportional to 37,205.80, 51,305.40 and 28,709.30

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Solution

The fourth proportional to 37,205.80, 51,305.40 and 28,709.30 is: 39,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.80 : 51,305.40 = 28,709.30 : x
  2. Step 2: Convert to fraction form
    37,205.80/51,305.40 = 28,709.30/x
  3. Step 3: Cross multiply
    37,205.80x = 51,305.40 × 28,709.30
  4. Step 4: Simplify right side
    37,205.80x = 1,472,942,248.48
  5. Step 5: Solve for x
    x = 1,472,942,248.48/37,205.80
  6. Step 6: Final answer
    x = 39,589.05

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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.