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Finding the Fourth Proportional to 110,470.20, 165,732.90 and 35,597.40

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Solution

The fourth proportional to 110,470.20, 165,732.90 and 35,597.40 is: 53,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,470.20 : 165,732.90 = 35,597.40 : x
  2. Step 2: Convert to fraction form
    110,470.20/165,732.90 = 35,597.40/x
  3. Step 3: Cross multiply
    110,470.20x = 165,732.90 × 35,597.40
  4. Step 4: Simplify right side
    110,470.20x = 5,899,660,334.46
  5. Step 5: Solve for x
    x = 5,899,660,334.46/110,470.20
  6. Step 6: Final answer
    x = 53,404.99

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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.