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Finding the Fourth Proportional to 43,141.98, 64,731.80 and 15,082.17

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Solution

The fourth proportional to 43,141.98, 64,731.80 and 15,082.17 is: 22,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,141.98 : 64,731.80 = 15,082.17 : x
  2. Step 2: Convert to fraction form
    43,141.98/64,731.80 = 15,082.17/x
  3. Step 3: Cross multiply
    43,141.98x = 64,731.80 × 15,082.17
  4. Step 4: Simplify right side
    43,141.98x = 976,296,012.01
  5. Step 5: Solve for x
    x = 976,296,012.01/43,141.98
  6. Step 6: Final answer
    x = 22,629.84

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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.