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Finding the Fourth Proportional to 52,297.75, 78,448.49 and 16,754.46

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Solution

The fourth proportional to 52,297.75, 78,448.49 and 16,754.46 is: 25,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297.75 : 78,448.49 = 16,754.46 : x
  2. Step 2: Convert to fraction form
    52,297.75/78,448.49 = 16,754.46/x
  3. Step 3: Cross multiply
    52,297.75x = 78,448.49 × 16,754.46
  4. Step 4: Simplify right side
    52,297.75x = 1,314,362,087.77
  5. Step 5: Solve for x
    x = 1,314,362,087.77/52,297.75
  6. Step 6: Final answer
    x = 25,132.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.