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Finding the Fourth Proportional to 34,837.84, 52,245.72 and 11,458.84

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Solution

The fourth proportional to 34,837.84, 52,245.72 and 11,458.84 is: 17,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,837.84 : 52,245.72 = 11,458.84 : x
  2. Step 2: Convert to fraction form
    34,837.84/52,245.72 = 11,458.84/x
  3. Step 3: Cross multiply
    34,837.84x = 52,245.72 × 11,458.84
  4. Step 4: Simplify right side
    34,837.84x = 598,675,346.16
  5. Step 5: Solve for x
    x = 598,675,346.16/34,837.84
  6. Step 6: Final answer
    x = 17,184.63

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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.