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Finding the Fourth Proportional to 110,571.72, 165,921.81 and 46,525.14

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Solution

The fourth proportional to 110,571.72, 165,921.81 and 46,525.14 is: 69,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,571.72 : 165,921.81 = 46,525.14 : x
  2. Step 2: Convert to fraction form
    110,571.72/165,921.81 = 46,525.14/x
  3. Step 3: Cross multiply
    110,571.72x = 165,921.81 × 46,525.14
  4. Step 4: Simplify right side
    110,571.72x = 7,719,535,439.30
  5. Step 5: Solve for x
    x = 7,719,535,439.30/110,571.72
  6. Step 6: Final answer
    x = 69,814.74

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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.