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Finding the Fourth Proportional to 30,569.46, 42,172.80 and 21,121.62

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Solution

The fourth proportional to 30,569.46, 42,172.80 and 21,121.62 is: 29,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.46 : 42,172.80 = 21,121.62 : x
  2. Step 2: Convert to fraction form
    30,569.46/42,172.80 = 21,121.62/x
  3. Step 3: Cross multiply
    30,569.46x = 42,172.80 × 21,121.62
  4. Step 4: Simplify right side
    30,569.46x = 890,757,855.94
  5. Step 5: Solve for x
    x = 890,757,855.94/30,569.46
  6. Step 6: Final answer
    x = 29,138.82

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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.