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Finding the Fourth Proportional to 34,877, 52,338.54 and 16,410.44

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Solution

The fourth proportional to 34,877, 52,338.54 and 16,410.44 is: 24,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,877 : 52,338.54 = 16,410.44 : x
  2. Step 2: Convert to fraction form
    34,877/52,338.54 = 16,410.44/x
  3. Step 3: Cross multiply
    34,877x = 52,338.54 × 16,410.44
  4. Step 4: Simplify right side
    34,877x = 858,898,470.36
  5. Step 5: Solve for x
    x = 858,898,470.36/34,877
  6. Step 6: Final answer
    x = 24,626.50

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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.