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Finding the Fourth Proportional to 37,149.30, 55,730.70 and 12,182.40

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Solution

The fourth proportional to 37,149.30, 55,730.70 and 12,182.40 is: 18,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.30 : 55,730.70 = 12,182.40 : x
  2. Step 2: Convert to fraction form
    37,149.30/55,730.70 = 12,182.40/x
  3. Step 3: Cross multiply
    37,149.30x = 55,730.70 × 12,182.40
  4. Step 4: Simplify right side
    37,149.30x = 678,933,679.68
  5. Step 5: Solve for x
    x = 678,933,679.68/37,149.30
  6. Step 6: Final answer
    x = 18,275.81

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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.