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Finding the Fourth Proportional to 34,999, 52,522.82 and 14,222.52

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Solution

The fourth proportional to 34,999, 52,522.82 and 14,222.52 is: 21,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,999 : 52,522.82 = 14,222.52 : x
  2. Step 2: Convert to fraction form
    34,999/52,522.82 = 14,222.52/x
  3. Step 3: Cross multiply
    34,999x = 52,522.82 × 14,222.52
  4. Step 4: Simplify right side
    34,999x = 747,006,857.91
  5. Step 5: Solve for x
    x = 747,006,857.91/34,999
  6. Step 6: Final answer
    x = 21,343.66

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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.