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Finding the Fourth Proportional to 113,906.09, 170,872.80 and 47,391.21

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Solution

The fourth proportional to 113,906.09, 170,872.80 and 47,391.21 is: 71,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,906.09 : 170,872.80 = 47,391.21 : x
  2. Step 2: Convert to fraction form
    113,906.09/170,872.80 = 47,391.21/x
  3. Step 3: Cross multiply
    113,906.09x = 170,872.80 × 47,391.21
  4. Step 4: Simplify right side
    113,906.09x = 8,097,868,748.09
  5. Step 5: Solve for x
    x = 8,097,868,748.09/113,906.09
  6. Step 6: Final answer
    x = 71,092.50

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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.