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Finding the Fourth Proportional to 38,509, 57,755.20 and 22,487.84

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Solution

The fourth proportional to 38,509, 57,755.20 and 22,487.84 is: 33,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509 : 57,755.20 = 22,487.84 : x
  2. Step 2: Convert to fraction form
    38,509/57,755.20 = 22,487.84/x
  3. Step 3: Cross multiply
    38,509x = 57,755.20 × 22,487.84
  4. Step 4: Simplify right side
    38,509x = 1,298,789,696.77
  5. Step 5: Solve for x
    x = 1,298,789,696.77/38,509
  6. Step 6: Final answer
    x = 33,726.91

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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.