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Finding the Fourth Proportional to 48,702, 67,208.82 and 26,346

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Solution

The fourth proportional to 48,702, 67,208.82 and 26,346 is: 36,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,702 : 67,208.82 = 26,346 : x
  2. Step 2: Convert to fraction form
    48,702/67,208.82 = 26,346/x
  3. Step 3: Cross multiply
    48,702x = 67,208.82 × 26,346
  4. Step 4: Simplify right side
    48,702x = 1,770,683,571.72
  5. Step 5: Solve for x
    x = 1,770,683,571.72/48,702
  6. Step 6: Final answer
    x = 36,357.51

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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.