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Finding the Fourth Proportional to 34,161.50, 47,142.87 and 19,257.50

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Solution

The fourth proportional to 34,161.50, 47,142.87 and 19,257.50 is: 26,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.50 : 47,142.87 = 19,257.50 : x
  2. Step 2: Convert to fraction form
    34,161.50/47,142.87 = 19,257.50/x
  3. Step 3: Cross multiply
    34,161.50x = 47,142.87 × 19,257.50
  4. Step 4: Simplify right side
    34,161.50x = 907,853,819.03
  5. Step 5: Solve for x
    x = 907,853,819.03/34,161.50
  6. Step 6: Final answer
    x = 26,575.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.