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Finding the Fourth Proportional to 47,206.72, 70,744 and 35,506.24

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Solution

The fourth proportional to 47,206.72, 70,744 and 35,506.24 is: 53,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.72 : 70,744 = 35,506.24 : x
  2. Step 2: Convert to fraction form
    47,206.72/70,744 = 35,506.24/x
  3. Step 3: Cross multiply
    47,206.72x = 70,744 × 35,506.24
  4. Step 4: Simplify right side
    47,206.72x = 2,511,853,442.56
  5. Step 5: Solve for x
    x = 2,511,853,442.56/47,206.72
  6. Step 6: Final answer
    x = 53,209.66

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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.