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Finding the Fourth Proportional to 52,647.73, 72,630.51 and 31,414.66

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Solution

The fourth proportional to 52,647.73, 72,630.51 and 31,414.66 is: 43,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.73 : 72,630.51 = 31,414.66 : x
  2. Step 2: Convert to fraction form
    52,647.73/72,630.51 = 31,414.66/x
  3. Step 3: Cross multiply
    52,647.73x = 72,630.51 × 31,414.66
  4. Step 4: Simplify right side
    52,647.73x = 2,281,662,777.28
  5. Step 5: Solve for x
    x = 2,281,662,777.28/52,647.73
  6. Step 6: Final answer
    x = 43,338.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.