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Finding the Fourth Proportional to 31,458.38, 47,187.59 and 8,084.84

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Solution

The fourth proportional to 31,458.38, 47,187.59 and 8,084.84 is: 12,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.38 : 47,187.59 = 8,084.84 : x
  2. Step 2: Convert to fraction form
    31,458.38/47,187.59 = 8,084.84/x
  3. Step 3: Cross multiply
    31,458.38x = 47,187.59 × 8,084.84
  4. Step 4: Simplify right side
    31,458.38x = 381,503,838.77
  5. Step 5: Solve for x
    x = 381,503,838.77/31,458.38
  6. Step 6: Final answer
    x = 12,127.26

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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.