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Finding the Fourth Proportional to 34,905.56, 52,358.34 and 16,439

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Solution

The fourth proportional to 34,905.56, 52,358.34 and 16,439 is: 24,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,905.56 : 52,358.34 = 16,439 : x
  2. Step 2: Convert to fraction form
    34,905.56/52,358.34 = 16,439/x
  3. Step 3: Cross multiply
    34,905.56x = 52,358.34 × 16,439
  4. Step 4: Simplify right side
    34,905.56x = 860,718,751.26
  5. Step 5: Solve for x
    x = 860,718,751.26/34,905.56
  6. Step 6: Final answer
    x = 24,658.50

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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.