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Finding the Fourth Proportional to 51,191.74, 70,647 and 29,977.84

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Solution

The fourth proportional to 51,191.74, 70,647 and 29,977.84 is: 41,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,191.74 : 70,647 = 29,977.84 : x
  2. Step 2: Convert to fraction form
    51,191.74/70,647 = 29,977.84/x
  3. Step 3: Cross multiply
    51,191.74x = 70,647 × 29,977.84
  4. Step 4: Simplify right side
    51,191.74x = 2,117,844,462.48
  5. Step 5: Solve for x
    x = 2,117,844,462.48/51,191.74
  6. Step 6: Final answer
    x = 41,370.82

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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.