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Finding the Fourth Proportional to 110,390.94, 165,598.20 and 47,217.60

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Solution

The fourth proportional to 110,390.94, 165,598.20 and 47,217.60 is: 70,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,390.94 : 165,598.20 = 47,217.60 : x
  2. Step 2: Convert to fraction form
    110,390.94/165,598.20 = 47,217.60/x
  3. Step 3: Cross multiply
    110,390.94x = 165,598.20 × 47,217.60
  4. Step 4: Simplify right side
    110,390.94x = 7,819,149,568.32
  5. Step 5: Solve for x
    x = 7,819,149,568.32/110,390.94
  6. Step 6: Final answer
    x = 70,831.44

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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.