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Finding the Fourth Proportional to 56,550, 84,825 and 17,106.24

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Solution

The fourth proportional to 56,550, 84,825 and 17,106.24 is: 25,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,550 : 84,825 = 17,106.24 : x
  2. Step 2: Convert to fraction form
    56,550/84,825 = 17,106.24/x
  3. Step 3: Cross multiply
    56,550x = 84,825 × 17,106.24
  4. Step 4: Simplify right side
    56,550x = 1,451,036,808.00
  5. Step 5: Solve for x
    x = 1,451,036,808.00/56,550
  6. Step 6: Final answer
    x = 25,659.36

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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.