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Finding the Fourth Proportional to 34,513.76, 51,770.71 and 9,553.88

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Solution

The fourth proportional to 34,513.76, 51,770.71 and 9,553.88 is: 14,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.76 : 51,770.71 = 9,553.88 : x
  2. Step 2: Convert to fraction form
    34,513.76/51,770.71 = 9,553.88/x
  3. Step 3: Cross multiply
    34,513.76x = 51,770.71 × 9,553.88
  4. Step 4: Simplify right side
    34,513.76x = 494,610,868.12
  5. Step 5: Solve for x
    x = 494,610,868.12/34,513.76
  6. Step 6: Final answer
    x = 14,330.83

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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.