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Finding the Fourth Proportional to 51,512.16, 71,082 and 29,156.16

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Solution

The fourth proportional to 51,512.16, 71,082 and 29,156.16 is: 40,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512.16 : 71,082 = 29,156.16 : x
  2. Step 2: Convert to fraction form
    51,512.16/71,082 = 29,156.16/x
  3. Step 3: Cross multiply
    51,512.16x = 71,082 × 29,156.16
  4. Step 4: Simplify right side
    51,512.16x = 2,072,478,165.12
  5. Step 5: Solve for x
    x = 2,072,478,165.12/51,512.16
  6. Step 6: Final answer
    x = 40,232.79

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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.