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Finding the Fourth Proportional to 56,082, 77,394.12 and 36,244.56

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Solution

The fourth proportional to 56,082, 77,394.12 and 36,244.56 is: 50,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082 : 77,394.12 = 36,244.56 : x
  2. Step 2: Convert to fraction form
    56,082/77,394.12 = 36,244.56/x
  3. Step 3: Cross multiply
    56,082x = 77,394.12 × 36,244.56
  4. Step 4: Simplify right side
    56,082x = 2,805,115,825.99
  5. Step 5: Solve for x
    x = 2,805,115,825.99/56,082
  6. Step 6: Final answer
    x = 50,018.11

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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.