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Finding the Fourth Proportional to 29,834.12, 44,760.06 and 12,305

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Solution

The fourth proportional to 29,834.12, 44,760.06 and 12,305 is: 18,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.12 : 44,760.06 = 12,305 : x
  2. Step 2: Convert to fraction form
    29,834.12/44,760.06 = 12,305/x
  3. Step 3: Cross multiply
    29,834.12x = 44,760.06 × 12,305
  4. Step 4: Simplify right side
    29,834.12x = 550,772,538.30
  5. Step 5: Solve for x
    x = 550,772,538.30/29,834.12
  6. Step 6: Final answer
    x = 18,461.16

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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.