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Finding the Fourth Proportional to 47,847.74, 71,776.67 and 19,769.90

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Solution

The fourth proportional to 47,847.74, 71,776.67 and 19,769.90 is: 29,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847.74 : 71,776.67 = 19,769.90 : x
  2. Step 2: Convert to fraction form
    47,847.74/71,776.67 = 19,769.90/x
  3. Step 3: Cross multiply
    47,847.74x = 71,776.67 × 19,769.90
  4. Step 4: Simplify right side
    47,847.74x = 1,419,017,130.50
  5. Step 5: Solve for x
    x = 1,419,017,130.50/47,847.74
  6. Step 6: Final answer
    x = 29,656.93

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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.