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Finding the Fourth Proportional to 50,935.50, 76,385.95 and 17,647.80

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Solution

The fourth proportional to 50,935.50, 76,385.95 and 17,647.80 is: 26,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,935.50 : 76,385.95 = 17,647.80 : x
  2. Step 2: Convert to fraction form
    50,935.50/76,385.95 = 17,647.80/x
  3. Step 3: Cross multiply
    50,935.50x = 76,385.95 × 17,647.80
  4. Step 4: Simplify right side
    50,935.50x = 1,348,043,990.47
  5. Step 5: Solve for x
    x = 1,348,043,990.47/50,935.50
  6. Step 6: Final answer
    x = 26,465.70

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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.