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Finding the Fourth Proportional to 109,963.60, 164,945.40 and 36,091.60

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Solution

The fourth proportional to 109,963.60, 164,945.40 and 36,091.60 is: 54,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.60 : 164,945.40 = 36,091.60 : x
  2. Step 2: Convert to fraction form
    109,963.60/164,945.40 = 36,091.60/x
  3. Step 3: Cross multiply
    109,963.60x = 164,945.40 × 36,091.60
  4. Step 4: Simplify right side
    109,963.60x = 5,953,143,398.64
  5. Step 5: Solve for x
    x = 5,953,143,398.64/109,963.60
  6. Step 6: Final answer
    x = 54,137.40

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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.