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Finding the Fourth Proportional to 52,065.82, 71,847.92 and 29,409.44

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Solution

The fourth proportional to 52,065.82, 71,847.92 and 29,409.44 is: 40,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,065.82 : 71,847.92 = 29,409.44 : x
  2. Step 2: Convert to fraction form
    52,065.82/71,847.92 = 29,409.44/x
  3. Step 3: Cross multiply
    52,065.82x = 71,847.92 × 29,409.44
  4. Step 4: Simplify right side
    52,065.82x = 2,113,007,092.36
  5. Step 5: Solve for x
    x = 2,113,007,092.36/52,065.82
  6. Step 6: Final answer
    x = 40,583.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.