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Finding the Fourth Proportional to 29,852.48, 44,742 and 13,194.56

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Solution

The fourth proportional to 29,852.48, 44,742 and 13,194.56 is: 19,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.48 : 44,742 = 13,194.56 : x
  2. Step 2: Convert to fraction form
    29,852.48/44,742 = 13,194.56/x
  3. Step 3: Cross multiply
    29,852.48x = 44,742 × 13,194.56
  4. Step 4: Simplify right side
    29,852.48x = 590,351,003.52
  5. Step 5: Solve for x
    x = 590,351,003.52/29,852.48
  6. Step 6: Final answer
    x = 19,775.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.