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Finding the Fourth Proportional to 56,544, 84,816 and 17,100.24

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Solution

The fourth proportional to 56,544, 84,816 and 17,100.24 is: 25,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,544 : 84,816 = 17,100.24 : x
  2. Step 2: Convert to fraction form
    56,544/84,816 = 17,100.24/x
  3. Step 3: Cross multiply
    56,544x = 84,816 × 17,100.24
  4. Step 4: Simplify right side
    56,544x = 1,450,373,955.84
  5. Step 5: Solve for x
    x = 1,450,373,955.84/56,544
  6. Step 6: Final answer
    x = 25,650.36

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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.