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Finding the Fourth Proportional to 120,590.64, 180,894.60 and 31,843.26

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Solution

The fourth proportional to 120,590.64, 180,894.60 and 31,843.26 is: 47,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,590.64 : 180,894.60 = 31,843.26 : x
  2. Step 2: Convert to fraction form
    120,590.64/180,894.60 = 31,843.26/x
  3. Step 3: Cross multiply
    120,590.64x = 180,894.60 × 31,843.26
  4. Step 4: Simplify right side
    120,590.64x = 5,760,273,780.40
  5. Step 5: Solve for x
    x = 5,760,273,780.40/120,590.64
  6. Step 6: Final answer
    x = 47,767.17

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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.