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Finding the Fourth Proportional to 110,421.70, 165,632.55 and 57,847.30

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Solution

The fourth proportional to 110,421.70, 165,632.55 and 57,847.30 is: 86,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,421.70 : 165,632.55 = 57,847.30 : x
  2. Step 2: Convert to fraction form
    110,421.70/165,632.55 = 57,847.30/x
  3. Step 3: Cross multiply
    110,421.70x = 165,632.55 × 57,847.30
  4. Step 4: Simplify right side
    110,421.70x = 9,581,395,809.62
  5. Step 5: Solve for x
    x = 9,581,395,809.62/110,421.70
  6. Step 6: Final answer
    x = 86,770.95

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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.