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Finding the Fourth Proportional to 35,068, 52,627.92 and 16,600

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Solution

The fourth proportional to 35,068, 52,627.92 and 16,600 is: 24,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,068 : 52,627.92 = 16,600 : x
  2. Step 2: Convert to fraction form
    35,068/52,627.92 = 16,600/x
  3. Step 3: Cross multiply
    35,068x = 52,627.92 × 16,600
  4. Step 4: Simplify right side
    35,068x = 873,623,472
  5. Step 5: Solve for x
    x = 873,623,472/35,068
  6. Step 6: Final answer
    x = 24,912.27

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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.