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Finding the Fourth Proportional to 117,876.48, 176,847.12 and 34,770.48

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Solution

The fourth proportional to 117,876.48, 176,847.12 and 34,770.48 is: 52,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,876.48 : 176,847.12 = 34,770.48 : x
  2. Step 2: Convert to fraction form
    117,876.48/176,847.12 = 34,770.48/x
  3. Step 3: Cross multiply
    117,876.48x = 176,847.12 × 34,770.48
  4. Step 4: Simplify right side
    117,876.48x = 6,149,059,249.02
  5. Step 5: Solve for x
    x = 6,149,059,249.02/117,876.48
  6. Step 6: Final answer
    x = 52,165.28

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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.