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Finding the Fourth Proportional to 20,721.60, 31,082.40 and 20,721.60

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Solution

The fourth proportional to 20,721.60, 31,082.40 and 20,721.60 is: 31,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,721.60 : 31,082.40 = 20,721.60 : x
  2. Step 2: Convert to fraction form
    20,721.60/31,082.40 = 20,721.60/x
  3. Step 3: Cross multiply
    20,721.60x = 31,082.40 × 20,721.60
  4. Step 4: Simplify right side
    20,721.60x = 644,077,059.84
  5. Step 5: Solve for x
    x = 644,077,059.84/20,721.60
  6. Step 6: Final answer
    x = 31,082.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.