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Finding the Fourth Proportional to 110,489.58, 165,734.39 and 39,409.34

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Solution

The fourth proportional to 110,489.58, 165,734.39 and 39,409.34 is: 59,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,489.58 : 165,734.39 = 39,409.34 : x
  2. Step 2: Convert to fraction form
    110,489.58/165,734.39 = 39,409.34/x
  3. Step 3: Cross multiply
    110,489.58x = 165,734.39 × 39,409.34
  4. Step 4: Simplify right side
    110,489.58x = 6,531,483,142.49
  5. Step 5: Solve for x
    x = 6,531,483,142.49/110,489.58
  6. Step 6: Final answer
    x = 59,114.02

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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.