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Finding the Fourth Proportional to 57,461.68, 86,175.68 and 22,392.96

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Solution

The fourth proportional to 57,461.68, 86,175.68 and 22,392.96 is: 33,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,461.68 : 86,175.68 = 22,392.96 : x
  2. Step 2: Convert to fraction form
    57,461.68/86,175.68 = 22,392.96/x
  3. Step 3: Cross multiply
    57,461.68x = 86,175.68 × 22,392.96
  4. Step 4: Simplify right side
    57,461.68x = 1,929,728,555.21
  5. Step 5: Solve for x
    x = 1,929,728,555.21/57,461.68
  6. Step 6: Final answer
    x = 33,582.88

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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.