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Finding the Fourth Proportional to 30,721.92, 42,409.32 and 20,656.20

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Solution

The fourth proportional to 30,721.92, 42,409.32 and 20,656.20 is: 28,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.92 : 42,409.32 = 20,656.20 : x
  2. Step 2: Convert to fraction form
    30,721.92/42,409.32 = 20,656.20/x
  3. Step 3: Cross multiply
    30,721.92x = 42,409.32 × 20,656.20
  4. Step 4: Simplify right side
    30,721.92x = 876,015,395.78
  5. Step 5: Solve for x
    x = 876,015,395.78/30,721.92
  6. Step 6: Final answer
    x = 28,514.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.