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Finding the Fourth Proportional to 110,409.42, 165,506.13 and 43,827.42

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Solution

The fourth proportional to 110,409.42, 165,506.13 and 43,827.42 is: 65,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,409.42 : 165,506.13 = 43,827.42 : x
  2. Step 2: Convert to fraction form
    110,409.42/165,506.13 = 43,827.42/x
  3. Step 3: Cross multiply
    110,409.42x = 165,506.13 × 43,827.42
  4. Step 4: Simplify right side
    110,409.42x = 7,253,706,672.08
  5. Step 5: Solve for x
    x = 7,253,706,672.08/110,409.42
  6. Step 6: Final answer
    x = 65,698.26

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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.