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Finding the Fourth Proportional to 110,405.40, 165,629.70 and 47,225.40

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Solution

The fourth proportional to 110,405.40, 165,629.70 and 47,225.40 is: 70,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,405.40 : 165,629.70 = 47,225.40 : x
  2. Step 2: Convert to fraction form
    110,405.40/165,629.70 = 47,225.40/x
  3. Step 3: Cross multiply
    110,405.40x = 165,629.70 × 47,225.40
  4. Step 4: Simplify right side
    110,405.40x = 7,821,928,834.38
  5. Step 5: Solve for x
    x = 7,821,928,834.38/110,405.40
  6. Step 6: Final answer
    x = 70,847.34

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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.