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Finding the Fourth Proportional to 34,793.60, 52,199.04 and 16,304

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Solution

The fourth proportional to 34,793.60, 52,199.04 and 16,304 is: 24,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,793.60 : 52,199.04 = 16,304 : x
  2. Step 2: Convert to fraction form
    34,793.60/52,199.04 = 16,304/x
  3. Step 3: Cross multiply
    34,793.60x = 52,199.04 × 16,304
  4. Step 4: Simplify right side
    34,793.60x = 851,053,148.16
  5. Step 5: Solve for x
    x = 851,053,148.16/34,793.60
  6. Step 6: Final answer
    x = 24,460.05

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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.