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Finding the Fourth Proportional to 110,496.42, 165,744.51 and 27,390.42

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Solution

The fourth proportional to 110,496.42, 165,744.51 and 27,390.42 is: 41,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,496.42 : 165,744.51 = 27,390.42 : x
  2. Step 2: Convert to fraction form
    110,496.42/165,744.51 = 27,390.42/x
  3. Step 3: Cross multiply
    110,496.42x = 165,744.51 × 27,390.42
  4. Step 4: Simplify right side
    110,496.42x = 4,539,811,741.59
  5. Step 5: Solve for x
    x = 4,539,811,741.59/110,496.42
  6. Step 6: Final answer
    x = 41,085.60

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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.