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Finding the Fourth Proportional to 30,942.80, 42,718.56 and 21,396.68

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Solution

The fourth proportional to 30,942.80, 42,718.56 and 21,396.68 is: 29,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.80 : 42,718.56 = 21,396.68 : x
  2. Step 2: Convert to fraction form
    30,942.80/42,718.56 = 21,396.68/x
  3. Step 3: Cross multiply
    30,942.80x = 42,718.56 × 21,396.68
  4. Step 4: Simplify right side
    30,942.80x = 914,035,358.38
  5. Step 5: Solve for x
    x = 914,035,358.38/30,942.80
  6. Step 6: Final answer
    x = 29,539.52

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Why These Related Problems?

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