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Finding the Fourth Proportional to 39,529.52, 59,297.40 and 11,450

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Solution

The fourth proportional to 39,529.52, 59,297.40 and 11,450 is: 17,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,529.52 : 59,297.40 = 11,450 : x
  2. Step 2: Convert to fraction form
    39,529.52/59,297.40 = 11,450/x
  3. Step 3: Cross multiply
    39,529.52x = 59,297.40 × 11,450
  4. Step 4: Simplify right side
    39,529.52x = 678,955,230
  5. Step 5: Solve for x
    x = 678,955,230/39,529.52
  6. Step 6: Final answer
    x = 17,175.90

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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.