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Finding the Fourth Proportional to 34,902.56, 52,353.84 and 16,436

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Solution

The fourth proportional to 34,902.56, 52,353.84 and 16,436 is: 24,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902.56 : 52,353.84 = 16,436 : x
  2. Step 2: Convert to fraction form
    34,902.56/52,353.84 = 16,436/x
  3. Step 3: Cross multiply
    34,902.56x = 52,353.84 × 16,436
  4. Step 4: Simplify right side
    34,902.56x = 860,487,714.24
  5. Step 5: Solve for x
    x = 860,487,714.24/34,902.56
  6. Step 6: Final answer
    x = 24,654

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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.