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Finding the Fourth Proportional to 50,644.76, 75,973.32 and 21,082.64

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Solution

The fourth proportional to 50,644.76, 75,973.32 and 21,082.64 is: 31,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,644.76 : 75,973.32 = 21,082.64 : x
  2. Step 2: Convert to fraction form
    50,644.76/75,973.32 = 21,082.64/x
  3. Step 3: Cross multiply
    50,644.76x = 75,973.32 × 21,082.64
  4. Step 4: Simplify right side
    50,644.76x = 1,601,718,155.16
  5. Step 5: Solve for x
    x = 1,601,718,155.16/50,644.76
  6. Step 6: Final answer
    x = 31,626.53

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Why These Related Problems?

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