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Finding the Fourth Proportional to 110,460.81, 165,687.92 and 30,503.64

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Solution

The fourth proportional to 110,460.81, 165,687.92 and 30,503.64 is: 45,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,460.81 : 165,687.92 = 30,503.64 : x
  2. Step 2: Convert to fraction form
    110,460.81/165,687.92 = 30,503.64/x
  3. Step 3: Cross multiply
    110,460.81x = 165,687.92 × 30,503.64
  4. Step 4: Simplify right side
    110,460.81x = 5,054,084,511.51
  5. Step 5: Solve for x
    x = 5,054,084,511.51/110,460.81
  6. Step 6: Final answer
    x = 45,754.55

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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.