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Finding the Fourth Proportional to 82,993.38, 114,396.99 and 56,126.10

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Solution

The fourth proportional to 82,993.38, 114,396.99 and 56,126.10 is: 77,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.38 : 114,396.99 = 56,126.10 : x
  2. Step 2: Convert to fraction form
    82,993.38/114,396.99 = 56,126.10/x
  3. Step 3: Cross multiply
    82,993.38x = 114,396.99 × 56,126.10
  4. Step 4: Simplify right side
    82,993.38x = 6,420,656,900.44
  5. Step 5: Solve for x
    x = 6,420,656,900.44/82,993.38
  6. Step 6: Final answer
    x = 77,363.48

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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.