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Finding the Fourth Proportional to 38,544.88, 53,190.48 and 21,778.24

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Solution

The fourth proportional to 38,544.88, 53,190.48 and 21,778.24 is: 30,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.88 : 53,190.48 = 21,778.24 : x
  2. Step 2: Convert to fraction form
    38,544.88/53,190.48 = 21,778.24/x
  3. Step 3: Cross multiply
    38,544.88x = 53,190.48 × 21,778.24
  4. Step 4: Simplify right side
    38,544.88x = 1,158,395,039.16
  5. Step 5: Solve for x
    x = 1,158,395,039.16/38,544.88
  6. Step 6: Final answer
    x = 30,053.15

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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.