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Finding the Fourth Proportional to 37,380.38, 56,070.77 and 9,678.38

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Solution

The fourth proportional to 37,380.38, 56,070.77 and 9,678.38 is: 14,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,380.38 : 56,070.77 = 9,678.38 : x
  2. Step 2: Convert to fraction form
    37,380.38/56,070.77 = 9,678.38/x
  3. Step 3: Cross multiply
    37,380.38x = 56,070.77 × 9,678.38
  4. Step 4: Simplify right side
    37,380.38x = 542,673,890.21
  5. Step 5: Solve for x
    x = 542,673,890.21/37,380.38
  6. Step 6: Final answer
    x = 14,517.61

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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.