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Finding the Fourth Proportional to 113,634, 170,418.36 and 34,729.68

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Solution

The fourth proportional to 113,634, 170,418.36 and 34,729.68 is: 52,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,634 : 170,418.36 = 34,729.68 : x
  2. Step 2: Convert to fraction form
    113,634/170,418.36 = 34,729.68/x
  3. Step 3: Cross multiply
    113,634x = 170,418.36 × 34,729.68
  4. Step 4: Simplify right side
    113,634x = 5,918,575,108.92
  5. Step 5: Solve for x
    x = 5,918,575,108.92/113,634
  6. Step 6: Final answer
    x = 52,084.54

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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.