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Finding the Fourth Proportional to 81,801.60, 122,702.40 and 29,212.80

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Solution

The fourth proportional to 81,801.60, 122,702.40 and 29,212.80 is: 43,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,801.60 : 122,702.40 = 29,212.80 : x
  2. Step 2: Convert to fraction form
    81,801.60/122,702.40 = 29,212.80/x
  3. Step 3: Cross multiply
    81,801.60x = 122,702.40 × 29,212.80
  4. Step 4: Simplify right side
    81,801.60x = 3,584,480,670.72
  5. Step 5: Solve for x
    x = 3,584,480,670.72/81,801.60
  6. Step 6: Final answer
    x = 43,819.20

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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.