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Finding the Fourth Proportional to 50,432.82, 69,597 and 29,211.66

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Solution

The fourth proportional to 50,432.82, 69,597 and 29,211.66 is: 40,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,432.82 : 69,597 = 29,211.66 : x
  2. Step 2: Convert to fraction form
    50,432.82/69,597 = 29,211.66/x
  3. Step 3: Cross multiply
    50,432.82x = 69,597 × 29,211.66
  4. Step 4: Simplify right side
    50,432.82x = 2,033,043,901.02
  5. Step 5: Solve for x
    x = 2,033,043,901.02/50,432.82
  6. Step 6: Final answer
    x = 40,311.92

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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.