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Finding the Fourth Proportional to 109,676, 164,514.90 and 26,570

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Solution

The fourth proportional to 109,676, 164,514.90 and 26,570 is: 39,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,676 : 164,514.90 = 26,570 : x
  2. Step 2: Convert to fraction form
    109,676/164,514.90 = 26,570/x
  3. Step 3: Cross multiply
    109,676x = 164,514.90 × 26,570
  4. Step 4: Simplify right side
    109,676x = 4,371,160,893
  5. Step 5: Solve for x
    x = 4,371,160,893/109,676
  6. Step 6: Final answer
    x = 39,855.22

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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.