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Finding the Fourth Proportional to 34,214.43, 51,321.63 and 24,913.63

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Solution

The fourth proportional to 34,214.43, 51,321.63 and 24,913.63 is: 37,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.43 : 51,321.63 = 24,913.63 : x
  2. Step 2: Convert to fraction form
    34,214.43/51,321.63 = 24,913.63/x
  3. Step 3: Cross multiply
    34,214.43x = 51,321.63 × 24,913.63
  4. Step 4: Simplify right side
    34,214.43x = 1,278,608,100.82
  5. Step 5: Solve for x
    x = 1,278,608,100.82/34,214.43
  6. Step 6: Final answer
    x = 37,370.43

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1.5x scale

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.