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Finding the Fourth Proportional to 48,363.50, 66,745.28 and 26,858

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Solution

The fourth proportional to 48,363.50, 66,745.28 and 26,858 is: 37,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,363.50 : 66,745.28 = 26,858 : x
  2. Step 2: Convert to fraction form
    48,363.50/66,745.28 = 26,858/x
  3. Step 3: Cross multiply
    48,363.50x = 66,745.28 × 26,858
  4. Step 4: Simplify right side
    48,363.50x = 1,792,644,730.24
  5. Step 5: Solve for x
    x = 1,792,644,730.24/48,363.50
  6. Step 6: Final answer
    x = 37,066.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.