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Finding the Fourth Proportional to 115,464, 173,201.04 and 36,584.04

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Solution

The fourth proportional to 115,464, 173,201.04 and 36,584.04 is: 54,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 173,201.04 = 36,584.04 : x
  2. Step 2: Convert to fraction form
    115,464/173,201.04 = 36,584.04/x
  3. Step 3: Cross multiply
    115,464x = 173,201.04 × 36,584.04
  4. Step 4: Simplify right side
    115,464x = 6,336,393,775.40
  5. Step 5: Solve for x
    x = 6,336,393,775.40/115,464
  6. Step 6: Final answer
    x = 54,877.66

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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.