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Finding the Fourth Proportional to 110,480.28, 165,803.04 and 43,023

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Solution

The fourth proportional to 110,480.28, 165,803.04 and 43,023 is: 64,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,480.28 : 165,803.04 = 43,023 : x
  2. Step 2: Convert to fraction form
    110,480.28/165,803.04 = 43,023/x
  3. Step 3: Cross multiply
    110,480.28x = 165,803.04 × 43,023
  4. Step 4: Simplify right side
    110,480.28x = 7,133,344,189.92
  5. Step 5: Solve for x
    x = 7,133,344,189.92/110,480.28
  6. Step 6: Final answer
    x = 64,566.67

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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.