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Finding the Fourth Proportional to 37,142.58, 55,674.74 and 12,176.12

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Solution

The fourth proportional to 37,142.58, 55,674.74 and 12,176.12 is: 18,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.58 : 55,674.74 = 12,176.12 : x
  2. Step 2: Convert to fraction form
    37,142.58/55,674.74 = 12,176.12/x
  3. Step 3: Cross multiply
    37,142.58x = 55,674.74 × 12,176.12
  4. Step 4: Simplify right side
    37,142.58x = 677,902,315.21
  5. Step 5: Solve for x
    x = 677,902,315.21/37,142.58
  6. Step 6: Final answer
    x = 18,251.35

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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.