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Finding the Fourth Proportional to 34,334.42, 51,451.94 and 16,784.42

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Solution

The fourth proportional to 34,334.42, 51,451.94 and 16,784.42 is: 25,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334.42 : 51,451.94 = 16,784.42 : x
  2. Step 2: Convert to fraction form
    34,334.42/51,451.94 = 16,784.42/x
  3. Step 3: Cross multiply
    34,334.42x = 51,451.94 × 16,784.42
  4. Step 4: Simplify right side
    34,334.42x = 863,590,755.48
  5. Step 5: Solve for x
    x = 863,590,755.48/34,334.42
  6. Step 6: Final answer
    x = 25,152.34

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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.