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Finding the Fourth Proportional to 109,917, 164,877.12 and 36,045

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Solution

The fourth proportional to 109,917, 164,877.12 and 36,045 is: 54,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,917 : 164,877.12 = 36,045 : x
  2. Step 2: Convert to fraction form
    109,917/164,877.12 = 36,045/x
  3. Step 3: Cross multiply
    109,917x = 164,877.12 × 36,045
  4. Step 4: Simplify right side
    109,917x = 5,942,995,790.40
  5. Step 5: Solve for x
    x = 5,942,995,790.40/109,917
  6. Step 6: Final answer
    x = 54,068.03

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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.