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Finding the Fourth Proportional to 34,795.98, 52,189.28 and 9,837.98

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Solution

The fourth proportional to 34,795.98, 52,189.28 and 9,837.98 is: 14,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,795.98 : 52,189.28 = 9,837.98 : x
  2. Step 2: Convert to fraction form
    34,795.98/52,189.28 = 9,837.98/x
  3. Step 3: Cross multiply
    34,795.98x = 52,189.28 × 9,837.98
  4. Step 4: Simplify right side
    34,795.98x = 513,437,092.85
  5. Step 5: Solve for x
    x = 513,437,092.85/34,795.98
  6. Step 6: Final answer
    x = 14,755.64

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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.