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Finding the Fourth Proportional to 31,505.50, 47,258.43 and 8,130.34

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Solution

The fourth proportional to 31,505.50, 47,258.43 and 8,130.34 is: 12,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.50 : 47,258.43 = 8,130.34 : x
  2. Step 2: Convert to fraction form
    31,505.50/47,258.43 = 8,130.34/x
  3. Step 3: Cross multiply
    31,505.50x = 47,258.43 × 8,130.34
  4. Step 4: Simplify right side
    31,505.50x = 384,227,103.77
  5. Step 5: Solve for x
    x = 384,227,103.77/31,505.50
  6. Step 6: Final answer
    x = 12,195.56

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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.