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Finding the Fourth Proportional to 30,792.84, 42,512.48 and 20,200.88

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Solution

The fourth proportional to 30,792.84, 42,512.48 and 20,200.88 is: 27,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.84 : 42,512.48 = 20,200.88 : x
  2. Step 2: Convert to fraction form
    30,792.84/42,512.48 = 20,200.88/x
  3. Step 3: Cross multiply
    30,792.84x = 42,512.48 × 20,200.88
  4. Step 4: Simplify right side
    30,792.84x = 858,789,506.98
  5. Step 5: Solve for x
    x = 858,789,506.98/30,792.84
  6. Step 6: Final answer
    x = 27,889.26

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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.