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Finding the Fourth Proportional to 37,257.32, 55,891.53 and 12,300

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Solution

The fourth proportional to 37,257.32, 55,891.53 and 12,300 is: 18,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257.32 : 55,891.53 = 12,300 : x
  2. Step 2: Convert to fraction form
    37,257.32/55,891.53 = 12,300/x
  3. Step 3: Cross multiply
    37,257.32x = 55,891.53 × 12,300
  4. Step 4: Simplify right side
    37,257.32x = 687,465,819
  5. Step 5: Solve for x
    x = 687,465,819/37,257.32
  6. Step 6: Final answer
    x = 18,451.83

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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.