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Finding the Fourth Proportional to 135,092, 202,638 and 36,596

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Solution

The fourth proportional to 135,092, 202,638 and 36,596 is: 54,894

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,092 : 202,638 = 36,596 : x
  2. Step 2: Convert to fraction form
    135,092/202,638 = 36,596/x
  3. Step 3: Cross multiply
    135,092x = 202,638 × 36,596
  4. Step 4: Simplify right side
    135,092x = 7,415,740,248
  5. Step 5: Solve for x
    x = 7,415,740,248/135,092
  6. Step 6: Final answer
    x = 54,894

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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.