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Finding the Fourth Proportional to 113,993.15, 170,999.45 and 29,764.49

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Solution

The fourth proportional to 113,993.15, 170,999.45 and 29,764.49 is: 44,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,993.15 : 170,999.45 = 29,764.49 : x
  2. Step 2: Convert to fraction form
    113,993.15/170,999.45 = 29,764.49/x
  3. Step 3: Cross multiply
    113,993.15x = 170,999.45 × 29,764.49
  4. Step 4: Simplify right side
    113,993.15x = 5,089,711,270.71
  5. Step 5: Solve for x
    x = 5,089,711,270.71/113,993.15
  6. Step 6: Final answer
    x = 44,649.27

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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.