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Finding the Fourth Proportional to 34,873, 52,332.54 and 16,406.44

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Solution

The fourth proportional to 34,873, 52,332.54 and 16,406.44 is: 24,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,873 : 52,332.54 = 16,406.44 : x
  2. Step 2: Convert to fraction form
    34,873/52,332.54 = 16,406.44/x
  3. Step 3: Cross multiply
    34,873x = 52,332.54 × 16,406.44
  4. Step 4: Simplify right side
    34,873x = 858,590,677.56
  5. Step 5: Solve for x
    x = 858,590,677.56/34,873
  6. Step 6: Final answer
    x = 24,620.50

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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.