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Finding the Fourth Proportional to 34,915.56, 52,373.34 and 16,449

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Solution

The fourth proportional to 34,915.56, 52,373.34 and 16,449 is: 24,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,915.56 : 52,373.34 = 16,449 : x
  2. Step 2: Convert to fraction form
    34,915.56/52,373.34 = 16,449/x
  3. Step 3: Cross multiply
    34,915.56x = 52,373.34 × 16,449
  4. Step 4: Simplify right side
    34,915.56x = 861,489,069.66
  5. Step 5: Solve for x
    x = 861,489,069.66/34,915.56
  6. Step 6: Final answer
    x = 24,673.50

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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.