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Finding the Fourth Proportional to 45,338.16, 68,015.88 and 17,634

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Solution

The fourth proportional to 45,338.16, 68,015.88 and 17,634 is: 26,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,338.16 : 68,015.88 = 17,634 : x
  2. Step 2: Convert to fraction form
    45,338.16/68,015.88 = 17,634/x
  3. Step 3: Cross multiply
    45,338.16x = 68,015.88 × 17,634
  4. Step 4: Simplify right side
    45,338.16x = 1,199,392,027.92
  5. Step 5: Solve for x
    x = 1,199,392,027.92/45,338.16
  6. Step 6: Final answer
    x = 26,454.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.