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Finding the Fourth Proportional to 110,503.80, 165,732.42 and 35,630.52

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Solution

The fourth proportional to 110,503.80, 165,732.42 and 35,630.52 is: 53,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,503.80 : 165,732.42 = 35,630.52 : x
  2. Step 2: Convert to fraction form
    110,503.80/165,732.42 = 35,630.52/x
  3. Step 3: Cross multiply
    110,503.80x = 165,732.42 × 35,630.52
  4. Step 4: Simplify right side
    110,503.80x = 5,905,132,305.46
  5. Step 5: Solve for x
    x = 5,905,132,305.46/110,503.80
  6. Step 6: Final answer
    x = 53,438.27

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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.