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Finding the Fourth Proportional to 120,730.50, 181,105.74 and 37,624.50

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Solution

The fourth proportional to 120,730.50, 181,105.74 and 37,624.50 is: 56,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,730.50 : 181,105.74 = 37,624.50 : x
  2. Step 2: Convert to fraction form
    120,730.50/181,105.74 = 37,624.50/x
  3. Step 3: Cross multiply
    120,730.50x = 181,105.74 × 37,624.50
  4. Step 4: Simplify right side
    120,730.50x = 6,814,012,914.63
  5. Step 5: Solve for x
    x = 6,814,012,914.63/120,730.50
  6. Step 6: Final answer
    x = 56,439.86

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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.