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Finding the Fourth Proportional to 34,224.30, 51,336.75 and 12,037.84

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Solution

The fourth proportional to 34,224.30, 51,336.75 and 12,037.84 is: 18,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224.30 : 51,336.75 = 12,037.84 : x
  2. Step 2: Convert to fraction form
    34,224.30/51,336.75 = 12,037.84/x
  3. Step 3: Cross multiply
    34,224.30x = 51,336.75 × 12,037.84
  4. Step 4: Simplify right side
    34,224.30x = 617,983,582.62
  5. Step 5: Solve for x
    x = 617,983,582.62/34,224.30
  6. Step 6: Final answer
    x = 18,056.87

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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.