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Finding the Fourth Proportional to 50,701.12, 76,051.80 and 29,910

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Solution

The fourth proportional to 50,701.12, 76,051.80 and 29,910 is: 44,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,701.12 : 76,051.80 = 29,910 : x
  2. Step 2: Convert to fraction form
    50,701.12/76,051.80 = 29,910/x
  3. Step 3: Cross multiply
    50,701.12x = 76,051.80 × 29,910
  4. Step 4: Simplify right side
    50,701.12x = 2,274,709,338
  5. Step 5: Solve for x
    x = 2,274,709,338/50,701.12
  6. Step 6: Final answer
    x = 44,865.07

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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.