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Finding the Fourth Proportional to 31,458.30, 47,195.61 and 11,737

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Solution

The fourth proportional to 31,458.30, 47,195.61 and 11,737 is: 17,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.30 : 47,195.61 = 11,737 : x
  2. Step 2: Convert to fraction form
    31,458.30/47,195.61 = 11,737/x
  3. Step 3: Cross multiply
    31,458.30x = 47,195.61 × 11,737
  4. Step 4: Simplify right side
    31,458.30x = 553,934,874.57
  5. Step 5: Solve for x
    x = 553,934,874.57/31,458.30
  6. Step 6: Final answer
    x = 17,608.54

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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.