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Finding the Fourth Proportional to 37,205.80, 55,813.38 and 12,248.80

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Solution

The fourth proportional to 37,205.80, 55,813.38 and 12,248.80 is: 18,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.80 : 55,813.38 = 12,248.80 : x
  2. Step 2: Convert to fraction form
    37,205.80/55,813.38 = 12,248.80/x
  3. Step 3: Cross multiply
    37,205.80x = 55,813.38 × 12,248.80
  4. Step 4: Simplify right side
    37,205.80x = 683,646,928.94
  5. Step 5: Solve for x
    x = 683,646,928.94/37,205.80
  6. Step 6: Final answer
    x = 18,374.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.