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Finding the Fourth Proportional to 57,726.16, 86,601 and 22,186

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Solution

The fourth proportional to 57,726.16, 86,601 and 22,186 is: 33,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726.16 : 86,601 = 22,186 : x
  2. Step 2: Convert to fraction form
    57,726.16/86,601 = 22,186/x
  3. Step 3: Cross multiply
    57,726.16x = 86,601 × 22,186
  4. Step 4: Simplify right side
    57,726.16x = 1,921,329,786
  5. Step 5: Solve for x
    x = 1,921,329,786/57,726.16
  6. Step 6: Final answer
    x = 33,283.52

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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.