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Finding the Fourth Proportional to 45,863.28, 63,287.64 and 25,446

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Solution

The fourth proportional to 45,863.28, 63,287.64 and 25,446 is: 35,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,863.28 : 63,287.64 = 25,446 : x
  2. Step 2: Convert to fraction form
    45,863.28/63,287.64 = 25,446/x
  3. Step 3: Cross multiply
    45,863.28x = 63,287.64 × 25,446
  4. Step 4: Simplify right side
    45,863.28x = 1,610,417,287.44
  5. Step 5: Solve for x
    x = 1,610,417,287.44/45,863.28
  6. Step 6: Final answer
    x = 35,113.43

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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.