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Finding the Fourth Proportional to 34,519.67, 51,773.63 and 9,553.86

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Solution

The fourth proportional to 34,519.67, 51,773.63 and 9,553.86 is: 14,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,519.67 : 51,773.63 = 9,553.86 : x
  2. Step 2: Convert to fraction form
    34,519.67/51,773.63 = 9,553.86/x
  3. Step 3: Cross multiply
    34,519.67x = 51,773.63 × 9,553.86
  4. Step 4: Simplify right side
    34,519.67x = 494,637,964.94
  5. Step 5: Solve for x
    x = 494,637,964.94/34,519.67
  6. Step 6: Final answer
    x = 14,329.16

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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.