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Finding the Fourth Proportional to 48,264.32, 72,388.38 and 13,197.80

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Solution

The fourth proportional to 48,264.32, 72,388.38 and 13,197.80 is: 19,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264.32 : 72,388.38 = 13,197.80 : x
  2. Step 2: Convert to fraction form
    48,264.32/72,388.38 = 13,197.80/x
  3. Step 3: Cross multiply
    48,264.32x = 72,388.38 × 13,197.80
  4. Step 4: Simplify right side
    48,264.32x = 955,367,361.56
  5. Step 5: Solve for x
    x = 955,367,361.56/48,264.32
  6. Step 6: Final answer
    x = 19,794.49

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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.