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Finding the Fourth Proportional to 31,818.50, 47,735.04 and 11,042

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Solution

The fourth proportional to 31,818.50, 47,735.04 and 11,042 is: 16,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.50 : 47,735.04 = 11,042 : x
  2. Step 2: Convert to fraction form
    31,818.50/47,735.04 = 11,042/x
  3. Step 3: Cross multiply
    31,818.50x = 47,735.04 × 11,042
  4. Step 4: Simplify right side
    31,818.50x = 527,090,311.68
  5. Step 5: Solve for x
    x = 527,090,311.68/31,818.50
  6. Step 6: Final answer
    x = 16,565.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.