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Finding the Fourth Proportional to 23,042.46, 34,572.02 and 8,051.80

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Solution

The fourth proportional to 23,042.46, 34,572.02 and 8,051.80 is: 12,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.46 : 34,572.02 = 8,051.80 : x
  2. Step 2: Convert to fraction form
    23,042.46/34,572.02 = 8,051.80/x
  3. Step 3: Cross multiply
    23,042.46x = 34,572.02 × 8,051.80
  4. Step 4: Simplify right side
    23,042.46x = 278,366,990.64
  5. Step 5: Solve for x
    x = 278,366,990.64/23,042.46
  6. Step 6: Final answer
    x = 12,080.61

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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.