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Finding the Fourth Proportional to 109,657.73, 164,461.98 and 50,436.50

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Solution

The fourth proportional to 109,657.73, 164,461.98 and 50,436.50 is: 75,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657.73 : 164,461.98 = 50,436.50 : x
  2. Step 2: Convert to fraction form
    109,657.73/164,461.98 = 50,436.50/x
  3. Step 3: Cross multiply
    109,657.73x = 164,461.98 × 50,436.50
  4. Step 4: Simplify right side
    109,657.73x = 8,294,886,654.27
  5. Step 5: Solve for x
    x = 8,294,886,654.27/109,657.73
  6. Step 6: Final answer
    x = 75,643.43

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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.