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Finding the Fourth Proportional to 47,082, 64,974.64 and 25,862

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Solution

The fourth proportional to 47,082, 64,974.64 and 25,862 is: 35,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082 : 64,974.64 = 25,862 : x
  2. Step 2: Convert to fraction form
    47,082/64,974.64 = 25,862/x
  3. Step 3: Cross multiply
    47,082x = 64,974.64 × 25,862
  4. Step 4: Simplify right side
    47,082x = 1,680,374,139.68
  5. Step 5: Solve for x
    x = 1,680,374,139.68/47,082
  6. Step 6: Final answer
    x = 35,690.37

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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.