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Finding the Fourth Proportional to 37,920.39, 56,838.20 and 14,205.12

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Solution

The fourth proportional to 37,920.39, 56,838.20 and 14,205.12 is: 21,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920.39 : 56,838.20 = 14,205.12 : x
  2. Step 2: Convert to fraction form
    37,920.39/56,838.20 = 14,205.12/x
  3. Step 3: Cross multiply
    37,920.39x = 56,838.20 × 14,205.12
  4. Step 4: Simplify right side
    37,920.39x = 807,393,380.56
  5. Step 5: Solve for x
    x = 807,393,380.56/37,920.39
  6. Step 6: Final answer
    x = 21,291.80

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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.