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Finding the Fourth Proportional to 30,596.54, 45,876.30 and 13,726.46

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Solution

The fourth proportional to 30,596.54, 45,876.30 and 13,726.46 is: 20,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.54 : 45,876.30 = 13,726.46 : x
  2. Step 2: Convert to fraction form
    30,596.54/45,876.30 = 13,726.46/x
  3. Step 3: Cross multiply
    30,596.54x = 45,876.30 × 13,726.46
  4. Step 4: Simplify right side
    30,596.54x = 629,719,196.90
  5. Step 5: Solve for x
    x = 629,719,196.90/30,596.54
  6. Step 6: Final answer
    x = 20,581.39

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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.