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Finding the Fourth Proportional to 50,677.57, 69,941.13 and 29,456.84

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Solution

The fourth proportional to 50,677.57, 69,941.13 and 29,456.84 is: 40,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677.57 : 69,941.13 = 29,456.84 : x
  2. Step 2: Convert to fraction form
    50,677.57/69,941.13 = 29,456.84/x
  3. Step 3: Cross multiply
    50,677.57x = 69,941.13 × 29,456.84
  4. Step 4: Simplify right side
    50,677.57x = 2,060,244,675.83
  5. Step 5: Solve for x
    x = 2,060,244,675.83/50,677.57
  6. Step 6: Final answer
    x = 40,653.98

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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.