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Finding the Fourth Proportional to 48,204, 72,297.84 and 13,135.44

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Solution

The fourth proportional to 48,204, 72,297.84 and 13,135.44 is: 19,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 72,297.84 = 13,135.44 : x
  2. Step 2: Convert to fraction form
    48,204/72,297.84 = 13,135.44/x
  3. Step 3: Cross multiply
    48,204x = 72,297.84 × 13,135.44
  4. Step 4: Simplify right side
    48,204x = 949,663,939.45
  5. Step 5: Solve for x
    x = 949,663,939.45/48,204
  6. Step 6: Final answer
    x = 19,700.94

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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.