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Finding the Fourth Proportional to 109,951.85, 164,930.65 and 29,990.48

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Solution

The fourth proportional to 109,951.85, 164,930.65 and 29,990.48 is: 44,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,951.85 : 164,930.65 = 29,990.48 : x
  2. Step 2: Convert to fraction form
    109,951.85/164,930.65 = 29,990.48/x
  3. Step 3: Cross multiply
    109,951.85x = 164,930.65 × 29,990.48
  4. Step 4: Simplify right side
    109,951.85x = 4,946,348,460.58
  5. Step 5: Solve for x
    x = 4,946,348,460.58/109,951.85
  6. Step 6: Final answer
    x = 44,986.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.