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Finding the Fourth Proportional to 50,776.65, 76,178.12 and 29,734.47

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Solution

The fourth proportional to 50,776.65, 76,178.12 and 29,734.47 is: 44,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776.65 : 76,178.12 = 29,734.47 : x
  2. Step 2: Convert to fraction form
    50,776.65/76,178.12 = 29,734.47/x
  3. Step 3: Cross multiply
    50,776.65x = 76,178.12 × 29,734.47
  4. Step 4: Simplify right side
    50,776.65x = 2,265,116,023.80
  5. Step 5: Solve for x
    x = 2,265,116,023.80/50,776.65
  6. Step 6: Final answer
    x = 44,609.40

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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.