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Finding the Fourth Proportional to 34,512.96, 51,769.51 and 9,553.08

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Solution

The fourth proportional to 34,512.96, 51,769.51 and 9,553.08 is: 14,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512.96 : 51,769.51 = 9,553.08 : x
  2. Step 2: Convert to fraction form
    34,512.96/51,769.51 = 9,553.08/x
  3. Step 3: Cross multiply
    34,512.96x = 51,769.51 × 9,553.08
  4. Step 4: Simplify right side
    34,512.96x = 494,558,199.58
  5. Step 5: Solve for x
    x = 494,558,199.58/34,512.96
  6. Step 6: Final answer
    x = 14,329.64

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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.