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Finding the Fourth Proportional to 48,739.70, 73,073.10 and 26,578.10

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Solution

The fourth proportional to 48,739.70, 73,073.10 and 26,578.10 is: 39,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739.70 : 73,073.10 = 26,578.10 : x
  2. Step 2: Convert to fraction form
    48,739.70/73,073.10 = 26,578.10/x
  3. Step 3: Cross multiply
    48,739.70x = 73,073.10 × 26,578.10
  4. Step 4: Simplify right side
    48,739.70x = 1,942,144,159.11
  5. Step 5: Solve for x
    x = 1,942,144,159.11/48,739.70
  6. Step 6: Final answer
    x = 39,847.27

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Why These Related Problems?

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