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Finding the Fourth Proportional to 109,948.80, 164,901.60 and 36,076.80

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Solution

The fourth proportional to 109,948.80, 164,901.60 and 36,076.80 is: 54,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,948.80 : 164,901.60 = 36,076.80 : x
  2. Step 2: Convert to fraction form
    109,948.80/164,901.60 = 36,076.80/x
  3. Step 3: Cross multiply
    109,948.80x = 164,901.60 × 36,076.80
  4. Step 4: Simplify right side
    109,948.80x = 5,949,122,042.88
  5. Step 5: Solve for x
    x = 5,949,122,042.88/109,948.80
  6. Step 6: Final answer
    x = 54,108.11

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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.