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Finding the Fourth Proportional to 70,454.72, 105,651.36 and 26,648

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Solution

The fourth proportional to 70,454.72, 105,651.36 and 26,648 is: 39,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454.72 : 105,651.36 = 26,648 : x
  2. Step 2: Convert to fraction form
    70,454.72/105,651.36 = 26,648/x
  3. Step 3: Cross multiply
    70,454.72x = 105,651.36 × 26,648
  4. Step 4: Simplify right side
    70,454.72x = 2,815,397,441.28
  5. Step 5: Solve for x
    x = 2,815,397,441.28/70,454.72
  6. Step 6: Final answer
    x = 39,960.38

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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.