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Finding the Fourth Proportional to 109,944.18, 164,876.49 and 46,768.50

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Solution

The fourth proportional to 109,944.18, 164,876.49 and 46,768.50 is: 70,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,944.18 : 164,876.49 = 46,768.50 : x
  2. Step 2: Convert to fraction form
    109,944.18/164,876.49 = 46,768.50/x
  3. Step 3: Cross multiply
    109,944.18x = 164,876.49 × 46,768.50
  4. Step 4: Simplify right side
    109,944.18x = 7,711,026,122.57
  5. Step 5: Solve for x
    x = 7,711,026,122.57/109,944.18
  6. Step 6: Final answer
    x = 70,135.83

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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.