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Finding the Fourth Proportional to 57,578, 86,367 and 16,026.08

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Solution

The fourth proportional to 57,578, 86,367 and 16,026.08 is: 24,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,578 : 86,367 = 16,026.08 : x
  2. Step 2: Convert to fraction form
    57,578/86,367 = 16,026.08/x
  3. Step 3: Cross multiply
    57,578x = 86,367 × 16,026.08
  4. Step 4: Simplify right side
    57,578x = 1,384,124,451.36
  5. Step 5: Solve for x
    x = 1,384,124,451.36/57,578
  6. Step 6: Final answer
    x = 24,039.12

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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.