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Finding the Fourth Proportional to 51,513.16, 71,083.38 and 29,157.16

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Solution

The fourth proportional to 51,513.16, 71,083.38 and 29,157.16 is: 40,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,513.16 : 71,083.38 = 29,157.16 : x
  2. Step 2: Convert to fraction form
    51,513.16/71,083.38 = 29,157.16/x
  3. Step 3: Cross multiply
    51,513.16x = 71,083.38 × 29,157.16
  4. Step 4: Simplify right side
    51,513.16x = 2,072,589,484.00
  5. Step 5: Solve for x
    x = 2,072,589,484.00/51,513.16
  6. Step 6: Final answer
    x = 40,234.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.