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Finding the Fourth Proportional to 47,082.64, 64,974 and 25,861.72

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Solution

The fourth proportional to 47,082.64, 64,974 and 25,861.72 is: 35,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082.64 : 64,974 = 25,861.72 : x
  2. Step 2: Convert to fraction form
    47,082.64/64,974 = 25,861.72/x
  3. Step 3: Cross multiply
    47,082.64x = 64,974 × 25,861.72
  4. Step 4: Simplify right side
    47,082.64x = 1,680,339,395.28
  5. Step 5: Solve for x
    x = 1,680,339,395.28/47,082.64
  6. Step 6: Final answer
    x = 35,689.15

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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.