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Finding the Fourth Proportional to 31,457.69, 47,186.46 and 8,084.19

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Solution

The fourth proportional to 31,457.69, 47,186.46 and 8,084.19 is: 12,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.69 : 47,186.46 = 8,084.19 : x
  2. Step 2: Convert to fraction form
    31,457.69/47,186.46 = 8,084.19/x
  3. Step 3: Cross multiply
    31,457.69x = 47,186.46 × 8,084.19
  4. Step 4: Simplify right side
    31,457.69x = 381,464,308.07
  5. Step 5: Solve for x
    x = 381,464,308.07/31,457.69
  6. Step 6: Final answer
    x = 12,126.27

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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.