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Finding the Fourth Proportional to 33,084.46, 45,666.21 and 20,168.40

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Solution

The fourth proportional to 33,084.46, 45,666.21 and 20,168.40 is: 27,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.46 : 45,666.21 = 20,168.40 : x
  2. Step 2: Convert to fraction form
    33,084.46/45,666.21 = 20,168.40/x
  3. Step 3: Cross multiply
    33,084.46x = 45,666.21 × 20,168.40
  4. Step 4: Simplify right side
    33,084.46x = 921,014,389.76
  5. Step 5: Solve for x
    x = 921,014,389.76/33,084.46
  6. Step 6: Final answer
    x = 27,838.28

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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.