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Finding the Fourth Proportional to 116,286, 174,430.68 and 33,180

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Solution

The fourth proportional to 116,286, 174,430.68 and 33,180 is: 49,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,286 : 174,430.68 = 33,180 : x
  2. Step 2: Convert to fraction form
    116,286/174,430.68 = 33,180/x
  3. Step 3: Cross multiply
    116,286x = 174,430.68 × 33,180
  4. Step 4: Simplify right side
    116,286x = 5,787,609,962.40
  5. Step 5: Solve for x
    x = 5,787,609,962.40/116,286
  6. Step 6: Final answer
    x = 49,770.48

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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.