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Finding the Fourth Proportional to 57,467.49, 86,201.30 and 15,914.49

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Solution

The fourth proportional to 57,467.49, 86,201.30 and 15,914.49 is: 23,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,467.49 : 86,201.30 = 15,914.49 : x
  2. Step 2: Convert to fraction form
    57,467.49/86,201.30 = 15,914.49/x
  3. Step 3: Cross multiply
    57,467.49x = 86,201.30 × 15,914.49
  4. Step 4: Simplify right side
    57,467.49x = 1,371,849,726.84
  5. Step 5: Solve for x
    x = 1,371,849,726.84/57,467.49
  6. Step 6: Final answer
    x = 23,871.75

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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.